Question

Solve each system of equation. Then, check the solutions by substituting them into the original equations to see if the equations are true. x+2y=8. x=-5

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asked 2021-05-02
Solve each system of equation. Then, check the solutions by substituting them into the original equations to see if the equations are true.
\(x+2y=8. x=-5\)

Answers (1)

2021-05-03
Step 1
Given:
x+2y=8...(i)
Put x=-5 in (i)
\(\Rightarrow -5+2y=8\)
\(\Rightarrow 2y=8+5\)
\(\Rightarrow y=\frac{13}{2}\)
So \(x=-5, y=\frac{13}{2}\)
Put \(x=-5, y=\frac{13}{2}\) in (i)
\(\Rightarrow -5+2(\frac{13}{2})=-5+13=8=8\)
So the equation are true.
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