Question

Help is (2,-3) a solution to any of these equations

x+3y=-7 -x+y=-5 2x-y=1

Answer 1

1. Yes

2. Yes

3. No

Explanation:

You can check by substituting x = 2 and y = -3 in these equations. If both sides appear to have same values then (2,-3) is a solution to that equation. If both sides appear to have different values then (2, -3) is not a solution to that equation.

`\displaystyle{x+3y=-7}\\\\\displaystyle{2+3(-3)=-7}\\\\\displaystyle{2-9=-7}\\\\\displaystyle{-7=-7}`

Hence, (2, -3) is a solution to x + 3y = -7

`\displaystyle{-x+y=-5}\\\\\displaystyle{-2-3=-5}\\\\\displaystyle{-5=-5}`

Hence, (2, -3) is a solution to -x + y = -5

`\displaystyle{2x-y=1}\\\\\displaystyle{2(2)-(-3)=1}\\\\\displaystyle{4+3=1}\\\\\displaystyle{7=1}`

Hence, (2, -3) is not a solution to 2x - y = 1