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

Solve This System Of Equations Using Substitution Show Your Work ANSWER QUICK PLEASE class=

Sagot :

charliethebest2002

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.

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