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

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

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.