Question

To solve this system of equations by elimination, what operation could be used to eliminate the x-variable and find the value of y?

4x + 3y = 6
18x + 5y = 6

Answer 1

The value of y is
`y=(42)/(17)`

Explanation:

we have

`4x+3y=6` -----> equation A

`18x+5y=6` -----> equation B

To eliminate the x-variable and find the value of y Multiply the equation A by -18/4 both sides or multiply the equation B by -4/18 both sides

I choice

Multiply the equation A by -18/4 both sides

`(-18/4)[4x+3y]=6*(-18/4)`

`-18x-13.5y=-27` ------> equation C

Adds equation B and equation C

`18x+5y=6\\-18x-13.5y=-27\\-------\\5y-13.5y=6-27\\-8.5y=-21\\\\ y=(42)/(17)`