Question

solve the system by substitution.
7x - 3y = -25
4x + 5 = y
answer attempt 1 out of 2
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Explanation:

Step1: Substitute \( y = 4x + 5 \) into \( 7x - 3y = -25 \)

We know that \( y = 4x + 5 \), so we replace \( y \) in the first equation with \( 4x + 5 \). This gives us:
\( 7x - 3(4x + 5) = -25 \)

Step2: Simplify and solve for \( x \)

First, distribute the -3 in \( -3(4x + 5) \):
\( 7x - 12x - 15 = -25 \)
Combine like terms (\( 7x - 12x \)):
\( -5x - 15 = -25 \)
Add 15 to both sides:
\( -5x = -25 + 15 \)
\( -5x = -10 \)
Divide both sides by -5:
\( x = \frac{-10}{-5} = 2 \)

Step3: Substitute \( x = 2 \) into \( y = 4x + 5 \) to find \( y \)

Substitute \( x = 2 \) into the equation for \( y \):
\( y = 4(2) + 5 \)
\( y = 8 + 5 \)
\( y = 13 \)

Answer:

\((2, 13)\)