Question

Using the graphing function on your calculator, find the solution to the systemof equations shown below.4y+12x = 102y-6x = -8A. x= 13/12, y = -3/4B. x=-6 y=2C. More than 1 solutionD. No solution

Answer 1

A. x= 13/12, y = -3/4

Explanation:

Given the system of equations:

`\begin{gathered} 4y+12x=10 \\ 2y-6x=-8 \end{gathered}`

First, the two linear functions are graphed using a calculator:

The solution to the system of equations is the point where the two lines intersect.

From the graph, the point where the two lines intersect is:

`(x,y)=(1.08.-0.75)=((13)/(12),-(3)/(4))`

Thus, the solution to the system is:

`x=(13)/(12),y=(-3)/(4)`

Option A is correct.