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Which equation is part of solving the system by substitution?

A. X + y = 11
B. 4x - 3y² = 8
C. 4(y + 11 - 3y) = 8
D. 4(11 - y² - 3y) = 8
E. 4(y - 11 - 3y) = 8

1 Answer

3 votes

Final answer:

The equation that involves solving the system by substitution is C. 4(y + 11 - 3y) = 8, which was obtained by substituting x with 11 - y from Equation A into Equation B. However, there is a typo in the options and the correct substitution process should give an equation similar to Option C.

Step-by-step explanation:

The equation that is part of solving the system by substitution is C. 4(y + 11 - 3y) = 8. This equation is derived by using substitution where x is eliminated using Equation A (x + y = 11). To isolate x, we get x = 11 - y and then substitute x in Equation B (4x - 3y² = 8) with 11 - y. This substitution turns Equation B into 4(11 - y - 3y²) = 8, but there is a typo in the options provided. The correct substitution result should closely resemble Option C, but none of the provided choices are perfectly correct. However, since we're looking at the process of substitution and Option C is the closest to the correct process, we select it with the understanding that the equation given in Option C contains a mistake.

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User Kapex
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