Question

Use substitution to solve each system of equations.y + 1/2x = 34y + 2x = 6

Answer 1

No solution

Explanation:Given the system of eqations:

`\begin{gathered} y+(1)/(2)x=3 \\ 4y+2x=6 \end{gathered}`

From the second equation, find x.

`\begin{gathered} 2x=6-4y \\ x=(6-4y)/(2) \\ =3-2y \end{gathered}`

Substitute the obtained value of x into the first equation.

`\begin{gathered} y+(1)/(2)(3-2y)=3 \\ y+(3)/(2)-y=3 \\ (3)/(2)=3 \end{gathered}`

which isnotpossible. So, no solution exists.