Question

y = -7x + 10
3x + 2y = 9
answer attempt 1 out of 9
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Explanation:

Step1: Substitute \( y = -7x + 10 \) into \( 3x + 2y = 9 \)

We substitute \( y \) in the second equation with the expression from the first equation. So we get \( 3x + 2(-7x + 10) = 9 \).

Step2: Simplify the equation

First, distribute the 2: \( 3x - 14x + 20 = 9 \). Then combine like terms: \( -11x + 20 = 9 \).

Step3: Solve for \( x \)

Subtract 20 from both sides: \( -11x = 9 - 20 = -11 \). Then divide both sides by -11: \( x = \frac{-11}{-11} = 1 \).

Step4: Solve for \( y \)

Substitute \( x = 1 \) into \( y = -7x + 10 \): \( y = -7(1) + 10 = -7 + 10 = 3 \).

Answer:

\((1, 3)\)