4x+2y=1

Subtract 2y from both sides of the equation.

4x=1-2y

Divide each term in 4x=1-2y by 4.

4×4=14+-2y4

Cancel the common factor of 4.

Cancel the common factor.

4×4=14+-2y4

Divide x by 1.

x=14+-2y4

x=14+-2y4

Simplify each term.

Cancel the common factor of -2 and 4.

Factor 2 out of -2y.

x=14+2(-y)4

Cancel the common factors.

Factor 2 out of 4.

x=14+2(-y)2(2)

Cancel the common factor.

x=14+2(-y)2⋅2

Rewrite the expression.

x=14+-y2

x=14+-y2

x=14+-y2

Move the negative in front of the fraction.

x=14-y2

x=14-y2

x=14-y2

Solve for x 4x+2y=1