Question

Solve the system using the substitution method.
10x - 16y = 17
3x + 3y = 9

Answer 1

x = 2.5, y = 0.5

Explanation:

`10x - 16y = 17\\3x + 3y = 9`

Isolate for x or y on the equation of choice (Just choose a random one)

`3y = 9 - 3x\\y = 3 - x`

Sub new equation into the other equation

`10x - 16(3-x) = 17\\10x -48 + 16x = 17\\26x = 65\\x = 2.5`

Sub x into new equation

`y = 3 - x\\y = 0.5`