Question

Solve the system of linear equations by elimination.
-y-10 = 6
5x +y = -10

Answer 1

Hey there!

The solution to the given system is (0, -10)

To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:

5x - 10 = 6x - 10

Now solve.

Add "10" to both sides:

5x = 6x

Subtract "5x" from both sides

0 = x

Now, we plug in the solved "x" value in an equation to solve for "y".

5(0) + y = -10

y = -10

We now know that the solution to the given system is (0, -10)

Hope this helps! Have an amazing day, and remember, you've got this!!

Answer 2

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(65,−16)

Equation Form:

x=65,y=−16

Explanation: