Step-by-step explanation:
Substitute y = -2x+3 into the value of y in the second equation:
[tex]x + - 2x + 3 = 6[/tex]
Subtract:
[tex] - x + 3 = 6[/tex]
Subtract 3 from both sides:
[tex] - x = 3[/tex]
Find the inverse, or divide by (-):
[tex]x = - 3[/tex]
Substitute -3 into the first equation:
[tex]y = - 2( - 3) + 3[/tex]
Multiply:
[tex]y = 6 + 3[/tex]
Add:
[tex]y = 9[/tex]
