How do you get coordinates out of these two equations?

Hello Robyn,

Two equations given are

2x - 6y = -10 -------------->equation 1

4x = 10 + 6y -------------->equation 2

We'll solve this problem using the elimination method.

Solve equation 2

4x = 10 + 6y (given)

-6y -6y (subtract 6y from both sides)

_______________

4x - 6y = 10 ------------------>new equation 2

Multiply equation 1 by -1 on both sides you'll get

-1(2x - 6y) = -1 (-10)

-2x + 6y = 10 -------------------> new equation 1

Add new equation 1 and new equation 2 to eliminate the y term you'll get

-2x + 6y = 10

4x - 6y = 10

_______________

2x = 20

(2x)/2 = 20/2 (divide both sides by 2)

**x = 10 (answer)**

Now, substitute the value of x in equation 1

2x - 6y = -10 (given)

2(10) - 6y = -10 (since, x = 10)

20 - 6y = -10

-20 -20 (subtract 20 from both sides)

_________________

-6y = -30

(-6y)/-6 = -30/-6 (divide by -6 on both sides)

**y = 5 (answer)**

**
**Good luck