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=(300)/(3)=100`

Now we substitute this value in equation (1):

`100=2y`

dividing both sides by 2:

`\begin{gathered} (100)/(2)=y \\ 50=y \end{gathered}`

Therefore, the solution is:

`(100,50)`