Question

Solve the system of equations. Enter your answer as an ordered pair.
3x+5y=48
-3x+5y=12

Answer 1

just add them and what do you get ?

Answer 2

notice that when adding, the 3x's cancel out.....now you can solve for y

Answer 3

12?

Answer 4

3x + 5y = 48
-3x + 5y = 12
------------add
10y = 60 -- now divide both sides by 10
y = 6

now sub 6 in for y back in either of the original equations and find x
questions ?

Answer 5

6?

Answer 6

we know that y = 6
so we will sub that back in for y in one of the original equations
3x + 5y = 48
3x + 5(6) = 48
3x + 30 = 48
3x = 48 - 30
3x = 18
x = 6

now we can check.
-3x + 5y = 12
-3(6) + 5(6) = 12
-18 + 30 = 12
12 = 12 (correct)

so the solution is (6,6)
questions ?

Answer 7

Nope

Answer 8

good to hear :)