Question

Solve the following system of equations. 7x - 12y = 180 7x = 84 Enter the solution as an ordered pair:

Answer 1

Given the following System of equations:

`\mleft\{\begin{aligned}7x-12y=180 \\ 7x=84\end{aligned}\mright.`

You can solve applying the Substitution method. The procedure is the following:

Step 1. You can solve for "x" from the second equation:, in order to find the value of this variable:

`\begin{gathered} 7x=84 \\ x=(84)/(7) \\ x=12 \\ \end{gathered}`

Step 2. Now you can substitute the value of "x" found above, into the first equation.

Step 3. Then you must solve for "y", in order to find its value. This is:

`\begin{gathered} 7x-12y=180 \\ 7(12)-12y=180 \\ 84-12y=180 \\ -12y=180-84 \\ -12y=96 \\ y=(96)/(-12) \\ y=-8 \end{gathered}`

The solution written as an ordered pair, must have this form:

`(x,y)`

Therefore, the solution as an ordered pair, is:

`(12,-8)`