Question

Solve by substitution.y = -2x + 1y = -6x - 11

Systems of equations
ANSWERED
asked 2021-02-09

Solve by substitution.
\(y = -2x + 1\)
\(y = -6x - 11\)

Answers (1)

2021-02-10

Let: Solve by substitution.
\(y = -2x + 1\)
\(y = -6x - 11\)
Substitute (1) to (2) and solve for x: \(-2x+1=-6x-11\)
Add 6x to both sides: \(4x+1=-11\)
Subtract 1 from both sides: \(4x=-12\)
Divide both sides by 4: \(x=-3\)
Sovle for y using (1): \(y=-2(-3)+1\)
\(y=6+1\)
\(y=7\)
So, the solution of the system is: (-3,7)

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