Answer:
x=1
Step-by-step explanation:
[tex]y= -2x+1\\3x-2y=5[/tex]
You substitute [tex]-2x+1[/tex] for y in the second equation, because it is equal to y.
[tex]3x-2(-2x+1)=5\\3x-(-4x+2)=5\\3x+4x-2=5\\7x-2=5\\7x=7\\x=1[/tex]
Alternate Method:
set both equations equal to y
[tex]3x-2y=5\\3x-5=2y\\y=\frac{3x-5}{2}[/tex]
Then you have
[tex]y=-2x+1\\y=\frac{3x-5}{2}[/tex]
And you substitute one of the equations in for y in the other one
[tex]-2x+1=\frac{3x-5}{2} \\[/tex]
multiply both sides by 2
[tex]-4x+2=3x-5[/tex]
and solve
[tex]7x=7\\x=1[/tex]
