Question

5x-y=-22-3x+y=16 Elimination method please help

Answer 1

- The solution steps are given below:

`\begin{gathered} 5x-y=-22 \\ -3x+y=16 \\ \\ \text{ Using the Elimination method, we simply need to add both equations to eliminate} \\ \text{ variable }y.\text{ Once this has been eliminated, we can find the value of }x \\ \\ \text{ Adding both equations, we have:} \\ 5x-y+(-3x+y)=-22+16 \\ 5x-y-3x+y=-6 \\ 2x=-6 \\ \text{ Divide both sides by 2} \\ x=(-6)/(2) \\ \\ x=-3 \\ \\ \text{ Substitute the value of }x\text{ into any of the equations,} \\ \\ 5x-y=-22 \\ 5(-3)-y=-22 \\ -15-y=-22 \\ \text{ Add 15 to both sides} \\ -y=-22+15 \\ -y=-7 \\ \therefore y=7 \end{gathered}`

Final Answer

The answer is:

x = -3

y= 7