Question

20 POINT PLEASE QUICKLY

5. Solve by substitution. Find the x,y ordered pair that works for both equations. You MUST use substitution, and show your work. The recording from the top of the page may help.

x – 2y = -2 and x – 4y = 10

Answer 1

Answer: the ordered pair is (-14,-6)

Step by step:

x – 2y = -2 (Eq. 1)

x – 4y = 10 (Eq. 2)

Isolate x in Eq. 2:

x = -2 + 2y

Substitute that solution x in Eq. 2:

x - 4y = 10

-2 + 2y - 4y = 10

Solve for y:

-2 - 2y = 10

-2y = 10 + 2 = 12

y = -6

Then calculate value for x using the above value for y

x = -2 + 2y

x = -2 + 2(-6) = -14

The solution is (x,y)=(-14,-6)