Question

solve the system by substitution.
3x + 2y = 7

y = -2x + 3

the solution is (\square, \square).

Explanation:

Step1: Substitute \( y = -2x + 3 \) into \( 3x + 2y = 7 \)

We get \( 3x + 2(-2x + 3) = 7 \).

Step2: Simplify the equation

First, expand the left - hand side: \( 3x-4x + 6 = 7 \).
Then, combine like terms: \( -x+6 = 7 \).
Subtract 6 from both sides: \( -x=7 - 6=1 \), so \( x=-1 \).

Step3: Substitute \( x = -1 \) into \( y=-2x + 3 \)

\( y=-2\times(-1)+3=2 + 3=5 \).

Answer:

\((-1,5)\)