Question

How do you solve the following system of equations?: `-3x+y=6, 3x + 19y=19`?

Answer 1

The solution is shown below using substitution method.

Explanation:

-3x + y = 6
y = 6 + 3x
3x + 19(6 + 3x) = 19
3x + 114 + 57x = 19
60x = -95
x = `-19/12`
-3(`-19/12`) + y = 6
`19/4` + y = 6
y = 6 - `19/4`
y = `5/4`

The solution set would be (`-19/12`, `5/4`)