Answer
(5,1)
Work Step by Step
There are two equations that we can use: y=2x-9 and x+3y=8. Since y=2x-9 is already simplified in which one variable is isolated we can substitute this equation into x+3y=8.
x+3y=8
x+3(2x-9)=8
Solve for x. First distribute.
x+6x-27=8
Combine like terms and add 27 to 8.
7x-27=8
7x=35
Then divide by 7 on both sides.
$\frac{7x}{7}$=$\frac{35}{7}$
x=5
Substitute x=5 into y=2x-9 to solve for y.
y=2(5)-9
y=10-9
y=1
The ordered pair would then be (5,1) since x=5 and y=1
