Question

Solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Answer 1

• 
  `\boxed{\sf{y=-5 \quad x=-18}}`

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.

`\sf{-x+6\left((5)/(6)x+10\right)=-12}`

Solve.

`\sf{4x+60=-12}`

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

`\sf{y=(5)/(6)\left(-18\right)+10}`

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.