Question

5. Y= 5x - 10 Y= 3x + 8Solve the System of equations

Answer 1

Given the following System of equations:

`\begin{cases}Y=5x-10 \\ Y=3x+8​\end{cases}`

You need to follow the steps shown below in order to find the solution:

Step 1. Set the equations equal to each other:

`5x-10=3x+8`

Step 2. Solve for the variable "x":

`\begin{gathered} 5x-3x=8+10 \\ 2x=18 \\ \\ x=(18)/(2) \\ \\ x=9 \end{gathered}`

Step 3. Substitute the value of "x" into any original equation and evaluate, in order to find the value of the other variable. This is:

`\begin{gathered} Y=5x-10 \\ Y=5(9)-10 \\ Y=45-10 \\ Y=35 \end{gathered}`

The point is:

`(9,35)`

Then, the solution is:

`\begin{gathered} x=9 \\ Y=35 \end{gathered}`