Question

solve the system by substitution.

( y = -7x + 6 )
( 5x + y = 2 )

Explanation:

Step1: Substitute \( y = -7x + 6 \) into \( 5x + y = 2 \)

We get \( 5x + (-7x + 6) = 2 \).

Step2: Simplify the equation

Simplify the left - hand side: \( 5x-7x + 6=2 \), which is \( - 2x+6 = 2 \).

Step3: Solve for \( x \)

Subtract 6 from both sides: \( -2x=2 - 6=-4 \).
Then divide both sides by - 2: \( x=\frac{-4}{-2}=2 \).

Step4: Substitute \( x = 2 \) into \( y=-7x + 6 \)

We have \( y=-7\times2 + 6=-14 + 6=-8 \).

Answer:

The solution of the system is \( x = 2,y=-8 \)