Use elimination to solve the system of equations. Enter your answer as an ordered pair; example: (4, -5)
frac{1}{2}x+y=4
-2x-2y=-6

Question

Use elimination to solve the system of equations. Enter your answer as an ordered pair; example: (4, -5) 
frac{1}{2}x+y=4
-2x-2y=-6

anonymous · Answer

Is that supposed to be $$\frac{ 1 }{ 2 }x + y =4?$$

If so. We can multiply the top equation by 2 to get

$$x+2y=8$$
We can then add this to the second equation
   $$x+2y=8$$
+$$-2x-2y=6$$
= $$-x = 14$$ so x = -14
substitute this back in to get y
$$-14+2y=8$$
Solve for y to get y = 11.

Check to see that we are correct by subbing in:
-2(-14)-2(11) = 28-22 = 6. Correct.

x = -14, y = 11. As an ordered pair, this is (-14,11)

anonymous · Answer

awesome! Thank you :)