Question

solve the system by substitution.
3x - 4y = 2
x = 3y + 4
the solution is (\square, \square ).

Explanation:

Step1: Substitute \( x = 3y + 4 \) into \( 3x - 4y = 2 \)

Substitute \( x \) in the first equation: \( 3(3y + 4) - 4y = 2 \)

Step2: Simplify and solve for \( y \)

Expand: \( 9y + 12 - 4y = 2 \)
Combine like terms: \( 5y + 12 = 2 \)
Subtract 12: \( 5y = 2 - 12 = -10 \)
Divide by 5: \( y = \frac{-10}{5} = -2 \)

Step3: Substitute \( y = -2 \) into \( x = 3y + 4 \)

Calculate \( x \): \( x = 3(-2) + 4 = -6 + 4 = -2 \)

Answer:

\((-2, -2)\)