2x+y=4

To solve this equation, we can use either substitution or elimination method.

Substitution method:

1. Solve one equation for one variable in terms of the other variable. Let's solve the first equation for x: 2x = 4 - y x = (4 - y)/2

2. Substitute the value of x in the second equation: 2((4 - y)/2) + y = 4 4 - y + y = 4 4 = 4

Elimination method:

1. Multiply the first equation by 2 to make the coefficients of x in both equations the same: 2(2x + y) = 2(4) 4x + 2y = 8

2. Subtract the first equation from the second equation: (4x + 2y) - (2x + y) = 8 - 4 4x + 2y - 2x - y = 4 2x + y = 4

In both methods, we have obtained the same simplified equation: 2x + y = 4.