How do you slove this by elimation -x plus 3y equals 5 -x-3y equals 1?

Answer 1

-x+3y=5-x-3y=1

break apart the equation by setting the two variable expressions equal to 1

-x+3y=1 and 5-x-3y=1

now in the seperate equations, combine all like terms

-x+3y=1 and -x-3y=-4

now the choice is yours you can choose to solve for x by eliminating y or vice versa. i'll solve for y

you want to first line up the equations vertically with corresponding like terms

-x+3y=1

-x-3y=-4 to eliminate x subtract one equation from the other

(bottom-top)= new bottom equation

-x+3y=1

-6y=-5

y= 5/6

-x+3(5/6)=1 subsitiute 5/6 for y

x= 3/2 and y= 5/6