Question

solve the system by substitution.\
y = 2x + 5\
y = 3x - 1\
the solution is (\square, \square).

Explanation:

Step1: Substitute y from first equation

Since both equations equal y, substitute \( y = 2x + 5 \) into \( y = 3x - 1 \), so \( 2x + 5 = 3x - 1 \).

Step2: Solve for x

Subtract \( 2x \) from both sides: \( 5 = x - 1 \). Then add 1 to both sides: \( x = 6 \).

Step3: Find y using x=6

Substitute \( x = 6 \) into \( y = 2x + 5 \): \( y = 2(6) + 5 = 12 + 5 = 17 \).

Answer:

(6, 17)