13x=-21-6y and -8x=36+6y

Step-by-step explanation:

Let's take one of the equations and solve for x. I'll take the first one.

Divide by 13.

Now replace x in the second equation.

Distribute -8

Break down the fraction.

Subtract

Subtract 6y

Combine like terms;

Solve;

Keep solving;

Multiply by the negative reciprocal of the fraction next to y.

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

After having found y, replace it in any of the equations to find x.

x=3

y=-10

Step-by-step explanation:

13x=-21-6y(1)

-8x=36+6y(11)

Add (11) to (1)

5x=15-6y+6y

5x=15

Divide both sides by 5

5x/5=15/5

x=3

Substitute x=3 in 13x=-21-6y

13(3)=-21-6y

39=-21-6y

Collect like terms

39+21=-6y

60=-6y

Divide both sides by -6

60/-6=-6y/-6

-10=y

y=-10