Question

6. Solve the system using substitution.

4x=3y-2
18=3x+y
A.(4,6)
B.(2.5,4)
C.(3,9)
D.(3,-9)

Answer 1

The answer is the option A

`(4,6)`

Explanation:

we have

`4x=3y-2` -----> equation A

`18=3x+y` ----> isolate the variable y

`y=-3x+18` -----> equation B

Substitute the equation B in the equation A

`4x=3(-3x+18)-2`

`4x=-9x+54-2`

`4x+9x=52`

`13x=52`

`x=4`

substitute the value of x in the equation B

`y=-3(4)+18=6`

therefore

the solution is the point
`(4,6)`