Question

Use the elimination Method to solve the system of equations. Choose the correct ordered pair.

6x + 4y = 32
-6x+4y = 8

A: 4,2
B: 1,5
C: 0,8
D: 2,5

Answer 1

D, 2; 5

Explanation:

Sum the equations vertically to eliminate at least one variable.

You will obtain 8y = 40.

Divide both sides by 8. You will get y = 5.

Now we know the value or y. Substitute this value into the second equation (-6x+4y = 8). You will get -6x+(4×5) = 8. Multiply 4 and 5: -6x+20 = 8.

Solve for x by moving 20 to the other side and switching sign: -6x = 8-20.

So: -6x = -12 and therefore x = 2.

So now we know the value of x and y.

(x; y) = (2; 5)