Question

X-5y=18, 2x-3y=-13? what is x and y, using the substitution method

Answer 1

x - 5y = 18
x = 18 + 5y

2x - 3y = -13
2 ( 18 + 5y ) - 3y = -13
36 +10y - 3y = -13
36 + 7y = -13
7y = -49
y = -7

x = 18 + 5y = 18 + 5(-7) = 18 - 35 = -17

So, x = -17 and y = -7

Answer 2

`2x-3y=-13`

`x-5y=18`,
`x=18+5y`


`2(18+5y)-3y=-13`

`36+10y-3y=-13`

`36+7y=-13`

`7y=-49`

`y=-7`


`x-5(-7)=18`

`x+35=18`

`x=-17`


`Answer: (-17,-7)`