Question

–x + 6y = –1 2x + 4y = 18 solve the equation by useing elimination

Answer 1

To solve the system of equations using elimination, we can multiply the first equation by 2 and the second equation by -1 to eliminate the x term.

-2(-x + 6y) = -2(-1)
2x + 12y = 2

-(2x + 4y) = -(18)
-2x - 4y = -18

Now we can add the two equations:

(2x + 12y) + (-2x - 4y) = 2 + (-18)
8y = -16
y = -2

Substituting the value of y back into one of the original equations, we can solve for x:

-2x + 4(-2) = 18
-2x - 8 = 18
-2x = 26
x = -13

Therefore, the solution to the system of equations is x = -13 and y = -2.