Question

question 6 of 25
what is the result of substituting for y in the bottom equation?
y = x - 3
y = x² + 2x - 4

a. y = x² + 2x - 4 - (x - 3)
b. (x - 3) = x²
c. x - 3 = x² + 2x - 4
d. y = (x - 3)² + 2(x - 3) - 4

Explanation:

Step1: Understand substitution

We have two equations: \( y = x - 3 \) and \( y = x^2 + 2x - 4 \). To substitute \( y \) from the first equation into the second, we replace \( y \) in the second equation with the expression it equals from the first equation.

Step2: Perform substitution

Since \( y = x - 3 \), we substitute this into the second equation \( y = x^2 + 2x - 4 \). So we get \( x - 3 = x^2 + 2x - 4 \).

Answer:

C. \( x - 3 = x^2 + 2x - 4 \)