Use elimination to solve the system of equations,
5x - 6y = 11
-7x + 5y = 5

Answers

Answer 1

Answer:

x = -5

y = -6

Step-by-step explanation:

5x - 6y = 11

-7x + 5y = 5

We could eliminate the 'y' by multiplying the first equation by 5 and the second equation by 6 to get the following:

5(5x - 6y) = 11(5)     → 25x - 30 y = 55

6(-7x + 5y) = 5(6)    → -42x + 30y = 30

Now we can add the two equations to get:

-17x = 85

x = -85/17 which is x = -5

Now we can plug in -5 into the first equation to solve for 'y':

5(-5) - 6y = 11

-25 - 6y = 11

-6y = 36

y = -6

CHECK:

-7(-5) + 5(-6) should equal 5

35 + (-30) = 5

5 = 5


Related Questions

Sum of an integer and 5 more than half of this integer is at almost 59

Answers

Answer:

36

Step-by-step explanation:

x + (1/2)x + 5 = 59

1.5x = 54

x = 36

Solve step by step:
What is the equation of a line that is perpendicular to the line y=2x+1 and passes through the point (4,6)?

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 1 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (4, 6 ) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - [tex]\frac{1}{2}[/tex] x + 8 ← equation of line

Factoring polynamials: 6x^2y-3xy^2

Answers

Answer:

 -y • (6x^2 + 3xy - 4)

Step-by-step explanation:

Help please ! I need the answer ASAP

Answers

Answer:

[tex](f + g)(1) = - 3[/tex]

Step-by-step explanation:

[tex](f + g)(x ) = (2x - 3) + (4x - 6) \\ = 6x - 9 \\ \\ (f + g)(1) = 6(1) - 9 \\ = 6 - 9 \\ = - 3[/tex]

I hope I helped you^_^

will mark brainly :)
y=1/2(x-3)^2
y=1/2(x+3)^2
y=2(x-3)^2
y=2(x+3)^2

Answers

Answer:

y = 1/2 (x-3) ^2

Step-by-step explanation:

I hope this helps!

graphically represent
The cuadratic relation

Answers

boberson is after then my mom

What is the ratio of the number of beaks to the number of legs the chickens and the sheep have on this farm?

Answers

Answer: 1:9

Step-by-step explanation:

If you multiply 2 legs times 8 chickens we get 16

If you multiply 4 legs times 14 sheep we get 56

The number of legs is 16+56=72

So you have 8 beaks and 72 legs or 8:72

Divide both sides by 8 to simplify and you get 1:9 as the answer

7n+2=4n+17 what is the answer

Answers

Answer

n=5

Step-by-step explanation:

n is equal to five

If given 5 miles is 8km convert 13.5 miles into km

Answers

Step-by-step explanation:

There are 2 ways we can do this. We can use our friend which we will call a special device or we could actually solve using formulas we already know. Today, I will be using a formula but you can easily just use the secret device.

Step 1: Knowing the formula which is multiply miles by 1.609 and then round to the nearest tenth or hundredth.

13.5 X 1.609 = 21.7215.

Round down to 21.7.

Final Answer: 21.7 Km is equal to 13.5 miles or vice versa.

How to Solve 2x = 9?

Answers

=》2x = 9

=》x = 9/2

=》x = 4.5

■ Take all the numbers to the right side leaving the variable alone on the the other side of the equation & then simplify it.

_____

RainbowSalt2222 ☔

approximate the distance between (-6,5) and (-4, -6) to the nearest tenth​

Answers

Answer:

5.1

Step-by-step explanation:

please help
15 marks

Answers

Step-by-step explanation:

12a. y-y1=m(x-x1)

y-5=(2-5)/(1--3)(x--3)

y-5=-3/4(x+3)

4y-20=-3x-9

4y=-3x-9+20

4y=-3x+11

y=-¾x+11/4

12b.

Perpendicular lines have the product of their gradient equal to -1

For L1,the gradient is 3

For L2,we express in slope-intercept form

6y=1-2x

y=1/6-⅓x

The slope is -⅓

Now product of both slopes 3×-⅓=-1,thus the lines are perpendicular

Question 3 "Try Again." Mary needs 3 feet of boondoggle for a craft project.
Boondoggle costs $0.25 per inch. How much will the project cost Mary?

Answers

Answer:

$9.00

Step-by-step explanation:

We can use conversion factors to solve this equation. The multiplication sequence that I got is shown below:

[tex]\frac{3ft}{1}[/tex] × [tex]\frac{12 in}{1ft}[/tex] × [tex]\frac{0.25}{1in}[/tex]

Our feet and inches cancel out and we get the final expression [tex]\frac{3*12*0.25}{1}[/tex], which is equal to 9, or $9.00.

Hopefully that was helpful! :)

I WILL GIVE BRAINIEST, PLEASE HELP

Answers

Answer:

A = (1, 10)

B = (4,10)

C = (4, 14)

D = (1, 16)

Step-by-step explanation:

Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:

P (1, -2) = (1, -10)     Q (4, -2) = (4, - 10)     S (1, -8) = (1, -16)     and R (4, -6) = (4, -14)

Now, we need to rotate this new box into -x, y. So our new points are:

(1, -10) = (-1, 10)     (4, -10) = (-4, 10)     (1, -16) = (-1, 16)     and (4,-14) = (-4, 14)

Now we're reflecting off the y-axis, making our x change. So for our final points:

A(1, 10)   B (4,10)    D(1, 16)    and C(4, 14)

Hope this helps! Please check my math and comment wether this worked or not! :)

Answer:

hi

Step-by-step explanation:

+10 points plus a brainly
Select the point(s) that are a solution to the equation or inequality.

y=7x−3
Question 5 options:

(2, 6)


(1, 0)


(0, -3)


(-1, -10)

Answers

Answer:

(0, -3) is good, good luck for you

A coin was tossed 80 times, out of which it landed on heads 60 times. What is the relative frequency of the coin toss resulting in tails?

Answers

Answer : 25%

Step-by-step explanation : If a coin was tossed 80 times and it landed 60 times, 80 - 60 = 20 so 20/80 were tails, let's convert that into % so 20 is 1/4 of 80 so 25%.


Consider this function.
h(x) = (x - 2)^2+3

Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x >5
c. x < 3
d. x > 4

(Ps: all four answer and larger equal then or smaller equal then

Answers

Answer:

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

Step-by-step explanation:

The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3).  If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the  parabolic graph twice.

Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test.  This would also be true for x ≥ 3, x ≥ 4, and so on.  Not so for (a) x < 1.  False for x > -5.  True for x < 3.  True for x > 4.

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

does any one know the Inequality Notation for this [9,∞)

Answers

Answer:

x>=9

Step-by-step explanation:

so, we can plot this on a number line

the point at 9 is a solid dot, since brackets (not parenthasis) indicates that we including the number. the shaded part of the line extends all the way to positive infinity. the shaded part means that it is a solution, while the un-shaded parts aren't solutions to [9,infinity) it is x>=9 and not x>9 because 9 is included.

x>=9 is the answer

on a recent day , one US dollar was worth 0.64 euros. If you were to exchange 126 euros on that day, how many US dollars would you have received?

Answers

Answer:

196.88

Step-by-step explanation:

looked up

pls help brainlist if you right which statement about the growing shape pattern is true​

Answers

the number of cheeseburgers will sometimes be odd and sometimes be even

Step-by-step explanation:

the last one..

The number of hamburgers in each picture will always be odd.

hope this helps you.

Please help!!! I have to submit this by today.

[tex]i \div 8 = 12[/tex]

Answers

Answer:

i = 96

Step-by-step explanation:

i ÷ 8 = 12i = 12 × 8i = 96

what is the measure of < 3?

Answers

I believe it's 45°........

Answer:

i reallyy wanna sayyyy 45

(81)¾ - (27)⅓
\3 × 2³​

Answers

Answer:

I won't tell you the answer but if you read the solution, you would understand it.

Step-by-step explanation:

81^3/4 is basically 3 times the fourth root of 81. What number multiplies 4 times to make 81? Then multiply that by 3.

Now we have the cube root of 27. If you have a fractional exponent with no numerator, that just means square root, cube root, fourth root.

Eg. the exponent 1/4 would just mean fourth root

Eg. The exponent 1/2 would just mean square root

The cube root of 27 is 3.

The denominator is 3 times 2 to the third power.

PEMDAS

Order of Operations tells us we do exponents first so 2 to the third power is 8 and multiply by that 3.

You have all the information you need. Now just use your arithmetic skills! Let me know if you need more help.

Dylan is selling boxes of candy. He purchases them for $1.50 each and
marks up the price by 50%. How much is Dylan planning to charge? *

Answers

Answer:

2.25

Step-by-step explanation:

1.50+50%=2.25

For which function is the ordered pair (5, 10) not a solution?

y = 15 - x
y = x - 5
y = x + 5
y = 2 x

Answers

Answer:

y = x - 5

Step-by-step explanation:

y = x - 5

10 = 5 - 5

10 is not equal 0

Answer:

y = x - 5

Step-by-step explanation:

y = x - 5

10 = 5 - 5

10 is not equal 0

I need some help with this problem

Answers

B because the answer says 195 and remainder of 15 beet roots

Answer:

B is going to be our answer

Step-by-step explanation:

We said that we want each row to contain 40 beets

We divided and got 195 rows, with a remainder of 15.

This makes statement B true.

Math help

would like to know how to do it step by step and answer

Answers

Answer:

0.01085 ~ 1.085%

Step-by-step explanation:

Okay so a simple way to do these probability ones is to add an extra space around each side

                      YES          NO

POSITIVE       325           2        _____

NEGATIVE       16          1131      _____

                     _____    _____   _____

Now in these spaces add all the the rows and columns accordingly

                      YES          NO

POSITIVE       325           2        _327_

NEGATIVE       16          1131      _1147_

                     _341_     _1133_   _1474_

Now the number in the place where the additional rows meet is your total number of patients, so this is what you would use for your probability.

So we are looking for YES / NEGATIVE which is 16

Now do 16 divided by 1474 and your probability comes out to 0.01085..., so as a percentage, would be 1.085%

Hope that helped :)

plz help first one who answers gets brainlyest ​

Answers

Subtotal: $3.48
Tax: $0.28
New Subtotal: $3.76

Hope this helps!

Amold uses
fence?
of a tin of paint to cover 1 z m of fence. What is the smallest number of tins he needs to cover 12 m of fence

Answers

12 tins because if he use one tin to cover 1 m of fence he should have to use 12 to cover 12m of fence

21. A square park has an area of 120 m2

a) What are the dimensions of the park? Give your answer to the nearest metre.
b) If fencing costs $18.50/m, how much would it cost to install a fence around the park?
Show your work

plsss help me quick :((

Answers

Answer:

120m2

$6.25

$4.50

85

57

12

12

32

54

69

87

89

12

34

58

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