Question

On your own paper, solve the system of equations using substitution and identify the solution.=24=300−

Answer 1

We are given the following system of equations:

$\begin{gathered} x=2y,(1) \\ 4y=300-x,(2) \end{gathered}$

In order to use the method of substitution we will multiply equation (1) by 2;

$2x=4y$

Now we replace this value in equation (2):

$2x=300-x$

Now we solve for "x" first by adding "x" to both sides:

$\begin{gathered} 2x+x=300-x+x \\ 3x=300 \end{gathered}$

Now we divide both sides by 3:

$x=\frac{300}{3}=100$

Now we substitute this value in equation (1):

$100=2y$

dividing both sides by 2:

$\begin{gathered} \frac{100}{2}=y \\ 50=y \end{gathered}$

Therefore, the solution is:

$(100,50)$