Question

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

Answer 1

Answer:

No solution

Explanation:Given the system of eqations:

$\begin{gathered} y+\frac{1}{2}x=3 \\ 4y+2x=6 \end{gathered}$

From the second equation, find x.

$\begin{gathered} 2x=6-4y \\ x=\frac{6-4y}{2} \\ =3-2y \end{gathered}$

Substitute the obtained value of x into the first equation.

$\begin{gathered} y+\frac{1}{2}(3-2y)=3 \\ y+\frac{3}{2}-y=3 \\ \frac{3}{2}=3 \end{gathered}$

which isnotpossible. So, no solution exists.