How do you solve the system of equations below and give your answer as an ordered pair: 4x + 7y = 47 and 5x - 4y= -5?

1 Answer
Jan 16, 2018

(3,5)

Explanation:

5x4y=5

5x=4y5

x=4y51

So we can substitute that into the equation 4x+7y=47 to get:

4(4y51)+7y=47

16y54+7y=47

16y5+7y=51

16y5+35y5=51

51y5=51

51y=255

y=5

By plugging y back into either of the original equations, we can solve for x:

5x4(5)=5

5x20=5

5x=15

x=3

Now that you have x and y, you would write out the ordered pair in the form (x,y): (3,5)