Question

Can someone help me with this

Answer 1

a = 17

c = 9

Explanation:

2a + 3c = 61

3a + 5c = 96

3a = 96 - 5c (solve for 'a'. Then you can substitute)

a = 32 -
`(5)/(3)` c

2(32 -
`(5)/(3)`c) + 3c = 61 (Substitute)

64 -
`(10)/(3)`c + 3c = 61 (
`(10)/(3)` = 3
`(1)/(3)`. So subtracting, adding a negative, leaves
`(-1)/(3)`)

-
`(1)/(3)` c= -3

c = 9

2a + 3(9) = 61

2a + 27 = 61

2a = 34

a = 17