Answer:
- [tex]\boxed{\sf{y=-5 \quad x=-18}}[/tex]
Step-by-step explanation:
The terms x and y must be substituted to isolate one side of the equation.
y=5/6x+10 and -x+6y=-12
First, you have to substitute by the y=5/6x+10.
[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]
Solve.
[tex]\sf{4x+60=-12}[/tex]
Subtract by 60 from both sides.
4x+60-60=-12-60
Solve.
4x=-72
Divide by 4 from both sides.
4x/4=-72/4
Solve.
Divide the numbers from left to right.
-72/4=-18
x=-18
Substitute: x=-18
[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]
Solve.
y=5/6(-18)+10=-5
y=-5
- Therefore, the solution is y=-5 and x=-18, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
