Is (3,2) a solution to the system y -x =1 and -3x-2y=5

Yes, because (3, 2) is a solution to both equations.

No, because (3, 2) is a solution to only one equation.

Yes, because (3, 2) solution to one equation.

No, because (3, 2) is a solution to neither equation.

Answers

Answer 1

Step-by-step explanation:

Given point :-

(3,2)

Equations :-

y - x = 1 -3x -2y = 5

=> y - x = 1

=> y = x + 1

=> -3x -2x -2 = 5

=> -5x = 7

=> x = -7/5

Therefore the point (3,2) is not a solution .

No, because (3, 2) is a solution to neither equation.

Answer 2
Answer:

No, because (3, 2) is a solution to neither equation.

Step-by-step explanation:

Here’s how to determine if a solution fits into a system:

y -x = 1

Substitute (3, 2) for x and y values

2 - 3 = 1

Solve

-1 = 1

So the answer is no (3, 2) cannot be a system to y - x = 1

Now let’s try the other system: -3x - 2y = 5

-3x - 2y = 5

Substitute (3, 2) for x and y values

-3(3) - 2(2) = 5

-9 - 4 = 5

-13 = 5

Therefore (3, 2) is a solution to neither equation


Related Questions

If the area of a rectangle is x^2 + 10x + 21 and the
width is x + 7, then what is the perimeter?
a) 4x + 20
b) 2x + 14
c) 2x + 10

Answers

4x+20

OPTION A is the correct answer.

x^2(y-z)+y^2(z-x)+z^2(x-y)

Answers

I think you just expand itlike this‍♀️

Can someone help me please hurry

Answers

9 tiles lay along each wall

Show that x = -5 is a solution to the inequality 18x – 42 ≠7x

Answers

Answer:

It works.

Step-by-step explanation:

11x≠42

So 42/11 is not a viable solution for x. All other real numbers work, so x=-5 is a solution.

Jika 2x-3/x=5, maka nilai dari 4x^2 - 9/x^2 adalah

Answers

Answer:

=2x-3 / x=5

=2(5)-3

=10-3

=7

the correct answer is 7. hope this helps :)

Find BD , given that line AB is the angle bisector of < CAD​

Answers

Answer:

23

Step-by-step explanation:

The answer is 23 by the definition of angle bisector.

Help me ASAP please people

Answers

Answer: 36

Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!

translate into an algebraic expression: “a increased by b%”

Answers

Given:

The given statement is: [tex]a[/tex] increased by [tex]b\%[/tex].

To find:

The algebraic expression for the given statement.

Solution:

We know that "+" sign is used when a value increased.

It is given that [tex]a[/tex] increased by [tex]b\%[/tex]. So, it can be written as:

[tex]a[/tex] increased by [tex]b\%[/tex][tex]=a+b\%\text{ of }a[/tex]

                                                             [tex]=a+\dfrac{b}{100}\times a[/tex]

                                                             [tex]=a+\dfrac{ab}{100}[/tex]

Therefore, the required algebraic expression is [tex]a+\dfrac{ab}{100}[/tex].

Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

could someone please help with this question? I have solved i.

Answers

Answer:

5.5

Step-by-step explanation:

5.5/10 = 8.5/(y+10)

if you solve it, it'll look like

y = 60/11

which is approximately 5.5

Answered by GAUTHMATH

5.6 hope this helps!

Triangle ABC is shown below.
What is the length of line segment AC?
А
ОООО

3х – 7
14
18
В
4х – 10
С

Answers

Answer:

hey mate i don't think your question is complete anyways here is what i found and i hope it is useful .

Step-by-step explanation:

(if the below is the diagram then this might help.)

In the given triangle ABC shown in the figure ∠ABC = ∠ACB

Since angles are equal so opposite sides of equal angles will be equal.

Now mAB = mAC

By putting values in terms of x

2x = 3x - 7

x = 7

Now mAC = 3x - 7

By putting value of x = 7

mAC = 3×7 - 7 = 21 - 7 = 14

Therefore length of line segment AC is 14 units.

I hope this helps !!!!!!!!!!!!!!!!!!!

Pls give step by step explanation

Answers

Answer:

6.   A    5c + 3e + 2

7.   A    w = P/2 - 125

8.   D   point S

Step-by-step explanation:

6.

3 triangles + 5 hexagons + 2 squares =

= 3e + 5c + 2(1)

= 5c + 3e + 2

7.

perimeter = P

length = 250 m

width = w

P = 2L + 2W

P = 2(250) + 2w

2w = P - 500

w = (1/2)(P - 500)

w = (P - 500)/2

w = P/2 - 250

Incorrect expression: w =  P/2 - 125

8.

X = 5

Y = -25

X - Y = 5 - (-25) = 5 + 25 = 30

S = 30

Which proportion would you use to find what percent 6 is of 40?

Answers

Answer:

6/100 = x/40

Step-by-step explanation:

6% is represented by 6/100, x is the variable in the proportion, and 40 is the whole you are finding the percentage of

0.5 + 1/9 show step by step and ill make you brainliest

Answers

Answer: 11/18          

1. Convert 0.5 to a fraction

5/10

5/10 simplifies to 1/2

2. Add 1/2 and 1/9 by finding a common denominator

Common deniminator is 18 (2*9=18, 9*2=18)

1/2=9/18

1/9=2/18

3. Add

9/18+2/18=11/18

4. The answer is 11/18

[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]

mr.brown can type 80 words in two minutes. how many words can he type in 40 minutes?

Answers

Answer:

1600

Step-by-step explanation:

We can setup a ratio in terms of words per minute.

Mr. Brown can type 80 words in 2 minutes, so our ratio looks like this:

40:2

In order to find how many words he can type in 40 minutes, we must set the minutes side of our ratio to 40. In order to do that, we must multiply our minutes side by a factor that makes it equal 40, and then multiply the words side by the same factor. We can divide 40 by 2 to figure out the factor, which is 20. Since the factor is 20, we must multiply it by the words side to figure out how many words he types in 40 minutes, which is 20 · 80 = 1600 words.

What is the equation of the line shown in the graph?


Drag and drop the expressions to write the equation of the line in slope-intercept form.

X, 2x, -X, -2x, 1, -1, -2 -4

Y=( )+( )

Answers

Answer:

y = -x -2

Step-by-step explanation:

-1 is the slope

-2 is the y-intercept

slope = [tex]\frac{-4-1}{2-(-3)}[/tex] = [tex]\frac{-5}{5}[/tex] = [tex]\frac{-1}{1}[/tex] = -1

please help with the fourth part ​

Answers

Answer:

ofc its p/q

Step-by-step explanation:

invested $8200 at the rate of 4.5% p.a. It earned $738 simple interest. The
period of investment was

Answers

Answer:

2 yrs

Step-by-step explanation:

SI =PTR/100

738=8200 x T x 4.5 /100

738 x 100 / 8200 x 4.5 = T

T =2

Can someone help me with this math homework please!

Answers

Answer:

3.5

Step-by-step explanation:

From the graph,

x1 = 0

x2 = 4

y1 = 0

y2 = 14

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 14 - 0 ) / ( 4 - 0 )

= 14 / 4

= 7 / 2

= 3.5

Answer:

7/2

Step-by-step explanation:

the slope of a line is the ratio of y/x.

it describes how many units y changes, when x changes a defined number of units.

an increase is indicated by "+", and a decrease by "-".

the point with full integer/natural numbers as coordinates is (4, 14).

that means that when coming from point 0 (0, 0) x increases by 4 units, and y increases by 14 units.

so, the slope of line is 14/4 = 7/2

SOMEONE HELP ME PLEASE

Answers

Answer:

y = 5/2

Step-by-step explanation:

An inverse variation is of the form

xy = k where k is a constant

From the first pair of point

2*5 = k

10 = k

xy = 10

Using the second pair of points

4y = 10

Divide by 5

4y/4 = 10/4

y = 5/2

Answer:

4,3

Step-by-step explanation:

it went up two so i guess the other has to go down two?

two football tickets and one basketball ticket cost $126.77. one football ticket and 2 basketball tickets cost $128.86 find the cost of each ticket

Answers

Answer:

Cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Step-by-step explanation:

Let

Cost of each football ticket=x

Cost of each basket ball ticket=y

According to question

[tex]2x+y=126.77[/tex]...(1)

[tex]x+2y=128.86[/tex] ....(2)

We have to find  the cost of each ticket.

Equation (1) multiply by 2 then we get

[tex]4x+2y=253.54[/tex]  .....(3)

Now, subtract equation (2) from (3)

[tex]3x=124.68[/tex]

[tex]x=124.68/3[/tex]

[tex]x=41.56[/tex]

Now, using the value of x in equation (2)

[tex]41.56+2y=128.86[/tex]

[tex]2y=128.86-41.56[/tex]

[tex]2y=87.3[/tex]

[tex]y=87.3/2=43.65[/tex]

Hence, cost of each football ticket=$41.56

Cost of each  basketball ticket=$43.56

Solve for 2. Round to the nearest tenth of a degree, if necessary.
U
9.4

T
PLSSSS HELP

Answers

Step-by-step explanation:

sin x0= 7/9.4

sin x0= 0.745

x0 = sin^-1 0.745

x0= 48.2

Please help me❤️ I keep getting it wrong

Answers

Answer:

[tex] = { \tt{ \frac{30}{120} + \frac{40}{120} }} \\ = \frac{7}{12} [/tex]

The number 55 is attached to a two-digit number on its left, and the formed 4-digit number is divisible by 24. What could be the two-digit number? List all options.

Answers

Answer:

the answer will be 44 I think I hoped I helped if not sorry.

Step-by-step explanation:

Multiply: -14y(y+11)

Answers

Answer:

-14y^2-154y

Step-by-step explanation:

-14y(y+11)

Distribute

-14y*y + -14y*11

-14y^2-154y

Answer:

-14y^2-154y

Step-by-step explanation:

EASY BRAINLIEST ANSWER ASAP!!

Complete the ordered pairs, using the given equation:
4x + 3y = 12 (0, ) (-1, ) ( ,10 )

Answers

Answer:

(0, 4) (-1, 16/ 3) (-9/ 2, 10)

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

1.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is (0, 4)

2.

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is (-1, 16/ 3)

3.

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is (-9/ 2, 10)

Which equation is the inverse of y = 2x2 – 8?
y = plus-or-minus StartRoot StartFraction x + 8 Over 2 EndFraction EndRoot
y = StartFraction plus-or-minus StartRoot x + 8 EndRoot Over 2 EndFraction
y = plus-or-minus StartRoot StartFraction x Over 2 EndFraction + 8 EndRoot
y = StartFraction plus-or-minus StartRoot x EndRoot Over 2 EndFraction + 4

Answers

Answer:

y = (√x/2) ± 2

Step-by-step explanation:

Here, we want to get the inverse of the given function

y = 2x^2 - 8

make x the subject of the formula

y + 8 = 2x^2

Divide through by 2

y/2 + 4 = x^2

x = √y/2 ± 2

Now switch place for x and y

y = (√x/2) ± 2

Answer:

d

Step-by-step explanation:

What is the solution to -4(8-3x)>6x-8?
O x > -4/3
O x < -4/3
O x > 4
O x < 4

Answers

Answer:

x [tex]\geq[/tex] 4

Step-by-step explanation:

-4(8-3x)[tex]\geq[/tex]6x-8 multiply inside the parenthesis with -4

12x - 32 [tex]\geq[/tex] 6x - 8 export like terms to the same side of the inequality

12x - 6x [tex]\geq[/tex] 32 - 8

6x [tex]\geq[/tex] 24 divide both sides by 6

x [tex]\geq[/tex] 4

Given :

What is the solution to -4(8 - 3x) ≥ 6x - 8 ?

Solution :

Assume this ≥ sign as = sign

- 4(8 - 3x) ≥ 6x - 8

By simplifying the left hand side we get

- 32 + 12x ≥ 6x - 8

Transposing them to the other side

12x - 6x ≥ 32 - 8

6x ≥ 24

x ≥ 24/6

x ≥ 4

Hence, the correct answer is the third option i.e. x ≥ 4

Evaluate 0.0096 * 4.2 over 0.6 * 0.48 leaving the answer in standard form

Answers

the answer for the question is 14*10raise the power -6

the answer is 14 to this 10^6

Find the area of the surface generated by revolving the curve xequals=StartFraction e Superscript y Baseline plus e Superscript negative y Over 2 EndFraction ey+e−y 2 in the interval 0 less than or equals y less than or equals ln 20≤y≤ln2 about the​ y-axis.

Answers

Solution :

[tex]$x=f(y) = \frac{e^y + e^{-y}}{2} , \ \ \ \ \ 0 \leq y \leq \ln 2$[/tex]

[tex]$\frac{dx}{dy} = \frac{e^y + e^{-y}}{2}$[/tex]

[tex]$\left(\frac{dx}{dy}\right)^2 = \frac{e^{2y} - 2 + e^{-2y}}{4}$[/tex]

[tex]$1+\left(\frac{dx}{dy}\right)^2 = 1+\frac{e^{2y} - 2 + e^{-2y}}{4} = \frac{e^{2y} + 2 + e^{-2y}}{4}$[/tex]

                  [tex]$ = \left(\frac{e^y + e^{-y}}{2}\right)^2$[/tex]

[tex]$\sqrt{1+\left(\frac{dx}{dy}\right)^2} = \sqrt{\left(\frac{e^y + e^{-y}}{2}\right)^2}=\frac{e^y + e^{-y}}{2}$[/tex]

[tex]$S = \int_{y=a}^b 2 \pix \sqrt{1+\left(\frac{dx}{dy}\right)^2 } \ dy$[/tex]

  [tex]$=\int_{0}^{\ln2} 2 \pi \left(\frac{e^y+e^{-y}}{2}\right) \left(\frac{e^y+e^{-y}}{2}\right) \ dy$[/tex]

  [tex]$=\frac{\pi}{2}\int_{0}^{\ln 2}(e^y+e^{-y})^2 \ dy = \frac{\pi}{2}\int_{0}^{\ln 2}(e^{2y}+e^{-2y}+2) \ dy $[/tex]

  [tex]$=\frac{\pi}{2} \left[ \frac{e^{2y}}{2} + \frac{e^{-2y}}{-2} + 2y \right]_2^{\ln 2}$[/tex]

  [tex]$=\frac{\pi}{2} \left[ \left(\frac{e^{2 \ln 2}}{2} + \frac{e^{-2\ln2}}{-2} + 2 \ln2 \right) - \left( \frac{e^0}{2} + \frac{e^0}{-2}+0\right) \right]$[/tex]

  [tex]$=\frac{\pi}{2}\left[ \frac{e^{\ln4}}{2} - \frac{e^{\ln(1/4)}}{2} + \ln 4 - \left( \frac{1}{2} - \frac{1}{2} + 0 \right) \right]$[/tex]

  [tex]$=\frac{\pi}{2} \left[\frac{4}{2} -\frac{1/4}{2} + \ln 4 \right]$[/tex]

  [tex]$=\frac{\pi}{2} \left[ 2-\frac{1}{8} + \ln 4 \right]$[/tex]

  [tex]$=\left( \frac{15}{8} + \ln 4 \right) \frac{\pi}{2}$[/tex]

Therefore, [tex]$S = \frac{15}{16} \pi + \pi \ln 2$[/tex]

 

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