Question

13x+2y=1 5x−2y=−19 ​ x= y=

Answer 1

13x + 2y = 1
5x - 2y = -19

Use the substitution method to solve this system of equations. In the first equation, solve for y.
13x + 2y = 1
Subtract 13x from both sides.

2y = 1 - 13x
Divide both sides by 2.

y =
`(1)/(2)` -
`(13)/(2)`x

Now plug y into the second equation.
5x - 2(
`(1)/(2)` -
`(13)/(2)`x) = -19
Distribute -2 to
`(1)/(2)` -
`(13)/(2)`x.

5x - 1 + 13x = -19
Combine like terms.

18x - 1 = -19
Add 1 to both sides.

18x = -18
Divide both sides by 18.

x = -1

Now plug x back into the "new" first equation (where we solved for y).
y =
`(1)/(2)` -
`(13)/(2)`(-1)
Multiply
`(13)/(2)` by -1.

y =
`(1)/(2)` + 6
`(1)/(2)` = 7

y = 7

x = -1, y = 7

Answer 2

Your answers would be : X=-1 y=7