Question

Solve the system of linear equations in two variables by elimination or substitution.

2x + 4y = 4
2x - y=1

Answer 1

x = 0.8 y = 0.6

Explanation:

Solve one of the equations for a single variable, I chose the 2nd equation and solved for the variable y and I got y = 2x -1.

Next plug in the value for y into the 1st equation, I got :

2x + 4 ( 2x - 1) = 4

Next solve for x by first distributing the 4 to the (2x-1), this becomes (8x -4) then add like terms and move the -4 to the other side of the equation by addition. I got 10x =8 then I divided 8/10 to solve for x and I got 0.8.

Now plug the value 0.8 in for x in the 2nd equation : 2*(0.8) - y = 1

Then solve for y by subtracting 2*(0.8) or 1.6 from 1 and I got -0.6, lastly divide by -1 to solve for y.