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

Respuesta :

Answer:

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

Explanation:

Given the system of equations:

[tex]\begin{gathered} 4y+12x=10 \\ 2y-6x=-8 \end{gathered}[/tex]

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:

[tex](x,y)=(1.08.-0.75)=(\frac{13}{12},-\frac{3}{4})[/tex]

Thus, the solution to the system is:

[tex]x=\frac{13}{12},y=\frac{-3}{4}[/tex]

Option A is correct.

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