Question

solve the system by substitution.
x = 3y - 7
5x + 4y = 3
the solution is (\square, \square).

Explanation:

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

Substitute \( x \) in the second equation: \( 5(3y - 7) + 4y = 3 \)

Step2: Simplify and solve for \( y \)

Expand the left side: \( 15y - 35 + 4y = 3 \)
Combine like terms: \( 19y - 35 = 3 \)
Add 35 to both sides: \( 19y = 38 \)
Divide by 19: \( y = 2 \)

Step3: Substitute \( y = 2 \) back into \( x = 3y - 7 \)

Calculate \( x \): \( x = 3(2) - 7 = 6 - 7 = -1 \)

Answer:

\((-1, 2)\)