Question

John’s teacher gave him the following system of equations and asked him to find the point of intersection.

5x + 7 = y
9x – 5= y


Select the ordered pair that represents the intersection of the lines represented by the two equation.




A.(3, –8)

B.(3, 22)

C.(5.5, 44.5)

D.(5.5, 34.5)

Answer 1

The intersection is at (3,22). You can use the elimination method and solve for x. 
Step 1: multiply 5x+7=y by -1.
Step 2: Use elimination method and get 4x-12=0
Step 3: Solve for x=3
Step 4: Plug 3 in for x in one function an solve for y.
Step 5: Check your work.