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1 vote
8. Solve the system of equations using substitution.

y = 4x + 6
y = 2x
A.(6,3) b.(3,6) c.(1,2) d.(-3,-6)

User Alaroff
by
7.7k points

1 Answer

2 votes

Answer:

D

Explanation:

In order to solve this we need to plug in the answer choices and make sure they work for BOTH answers!

Let us start with option A. (6,3) 3 = 4(6) + 6 = 3 = 30 This is automaticly wrong because 3 doesnt equal 30. There is no need to try it on the second equation since the first one was wrong.

Next answer choice, B (3,6) 6 = 2(3) = 6=6. The second equation works perfect for this. Now we have to make sure that it works for the first one as well. 6 = 4(3) + 6 = 6 = 18 which is wrong.

Next, C. (1,2) 2 = 2(1) = 2=2 Right now lets check the other equation.

2 = 4(1) + 6 = 2=10. Wrong

Last, D. (-3, -6) -6 = 2(-3) = -6 = -6 Right now lets check the other equation.

-6 = 4(-3) + 6 = -6 = -6. CORRECT. Answer choice D works for both equations.

Sorry for the wait of response.

User Shane Kenyon
by
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