Question

solve the system by substitution.
y = 5x - 7
4x + 5y = -6
the solution is (\square, \square ).

Explanation:

Step1: Substitute \( y = 5x - 7 \) into \( 4x + 5y = -6 \)

Substitute \( y \) in the second equation: \( 4x + 5(5x - 7) = -6 \)

Step2: Simplify and solve for \( x \)

Expand the equation: \( 4x + 25x - 35 = -6 \)
Combine like terms: \( 29x - 35 = -6 \)
Add 35 to both sides: \( 29x = 29 \)
Divide by 29: \( x = 1 \)

Step3: Substitute \( x = 1 \) into \( y = 5x - 7 \)

Find \( y \): \( y = 5(1) - 7 = 5 - 7 = -2 \)

Answer:

\( (1, -2) \)