Solve the system:
−3x−4y=−18
−2x+4y=8
Put your answer in ordered pair form: (x,y) Show your work in the box below to receive full credit.
(1 point)
Solution:
Question 2
Show your work here. You can either upload a picture of your work on paper or type it out. Make sure to show all work to earn full credit.(3 points)
To solve the system of equations:
-3x - 4y = -18 ... (1)
-2x + 4y = 8 ... (2)
We can eliminate the variable y by adding equation (1) and equation (2) together.
(-3x - 4y) + (-2x + 4y) = (-18) + 8
-3x - 2x - 4y + 4y = -10
-5x = -10
Divide both sides by -5:
x = 2
Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use equation (2).
-2x + 4y = 8
-2(2) + 4y = 8
-4 + 4y = 8
4y = 8 + 4
4y = 12
Divide both sides by 4:
y = 3
Therefore, the solution is (2, 3).