Answer:
The value of y is [tex]y=\frac{42}{17}[/tex]
Step-by-step explanation:
we have
[tex]4x+3y=6[/tex] -----> equation A
[tex]18x+5y=6[/tex] -----> 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
[tex](-18/4)[4x+3y]=6*(-18/4)[/tex]
[tex]-18x-13.5y=-27[/tex] ------> equation C
Adds equation B and equation C
[tex]18x+5y=6\\-18x-13.5y=-27\\-------\\5y-13.5y=6-27\\-8.5y=-21\\\\ y=\frac{42}{17}[/tex]
