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

Answer:

The value of y is $y=\frac{42}{17}$

Step-by-step 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

$18x+5y=6\\-18x-13.5y=-27\\-------\\5y-13.5y=6-27\\-8.5y=-21\\\\ y=\frac{42}{17}$