Question

Please help me with an addition formula problem!


Solve the system by the elimination method. Check your work.

2a + 3b = 6

5a + 2b - 4 = 0

Answer 1

2a + 3b = 6
5a + 2b = 4

We multiply the first equation by 5 and the second by 2 and and subtract the second from the first:

10a + 15b = 30
-10a -4b = -8

11b = 22
b = 2

2a + 3(2) = 6
2a = 0
a = 0

Checking,
5(0) + 2(2) = 4
4 = 4, true