Question

use the substitution method to solve the given system of equations.write your answer as an ordered pair (x,y). 3x-4y=13 and x-2y=9

Answer 1

x=2y+9
Substitute that equation into the first one

so:

3(2y+9)-4y=13

6y+27-4y=13

Combine like terms

2y=-14
y=-7

Then plug -7 for y in any of the equations

x-2(-7)=9
x+14=9
x=-5

(-5,-7)

Plug those numbers to check if it is done correctly.