SAT High School

[tex]3x + 2y + 2z = 19\\3x + y + z = 14\\[/tex]
If the equations above are true, which of the following is the value of y + z?

(A.) -5
(B.) -4
(C.) 0
(D.) 4
(E.) 5

Answers

Answer 1

Answer:

The answer is E

Explanation:

Before we find the value of 5, let's find x by using the elimination process for the two given equation.

2(3x + y + z = 14) → 6x + 2y + 2z = 28

3x + 2y + 2z = 19

-6x + 2y + 2z = 28

-3x = -9

x = 3

Now plug in 3 into both of the given equations, which will give you your new equation, then subtract them:

3(3) + 2y + 2z = 19 → 9 + 2y + 2z = 19

3(3) + y + z = 14 →   - 9 + y + z = 14

Our answer is: y + z = 5

Our value is 5

Optional: If you want to make sure it's 5, plug-in any random numbers for y and z that equals 5. For example: 3 + 2, 1 + 4, 5 + 0, 6 + (-1), etc...

Once you choose the numbers you can plug them into the two new given equations. For me, I decided to let y = 1 and z = 4:

9 + 2(1) + 2(4) = 19     9 + (1) + (4) = 14

9 + 2 + 8 = 19            9 + 1 + 4 = 14

19 = 19                       14 = 14

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Which areas does acid rain most likely form before rain

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The dnsity of aluminum is 2. 70 g/mL. if the mass of a piece of aluminum is 244 grams, what is the volume of the aluminum

Answers

27.0 g

Explanation:
The density of a substance tells you the mass of exactly one unit of volume of said substance.
In your case, aluminium is said to have a density of
density Al
=
2.70 g
.
cm
−
3
This tells you that every
1 mL
of aluminium has a mass of
2.70 g
.
All you have to do now is use the density of aluminium as a conversion factor to go from cubic centimenters of aluminium to grams
10.0
cm
3
⋅
2.70 g
1
cm
3
=
27.0 g
−−−−−
The answer is rounded to three sig figs.
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