Answer:
[tex](3,-4)[/tex]
Step-by-step explanation:
Given
[tex]-7x - 2y = -13[/tex]
[tex]x = 2y + 11[/tex]
Required
Find the solution
Substitute [tex]2y + 11[/tex] for x in the first equation
[tex]-7(2y + 11) - 2y = -13[/tex]
Open bracket
[tex]-14y -77 - 2y = -13[/tex]
Collect Like Terms
[tex]-14y - 2y = -13+77[/tex]
[tex]-16y = 64[/tex]
Solve for y
[tex]y = \frac{64}{-16}[/tex]
[tex]y = -4[/tex]
Substitute -4 for y in [tex]x = 2y + 11[/tex]
[tex]x = 2(-4) + 11[/tex]
[tex]x = -8 +11[/tex]
[tex]x = 3[/tex]
Hence, the solution is [tex](3,-4)[/tex]
