Question

The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations.

y = −2x + 4,

y = − 1/3x − 1

What is the solution to the system?

Answer 1

Answer: C

Step-by-step explanation: The solution to the system is (3, -2)

Answer 2

In the figure attached we see the plot. The red line represent the function

y = -2x+4

And the blue one is y = -1/3 x +1.

And as we can see the intersection for this case is x=1.8 y =0.4 represent the solutin for this problem

And we can verifty this since:

y = -2*1.8 +4 =0.4[/tex]

y = -1/3 *1.8 +1 =0.4[/tex]

So then the solution is correct.

Explanation:

For this case we have the following system of equations:

y = -2x+4 (1)

y = -1/3 x +1 (2)

If we use the graphical mehtod we just need to plot the two graphs and see the intersection.

In the figure attached we see the plot. The red line represent the function

y = -2x+4

And the blue one is y = -1/3 x +1.

And as we can see the intersection for this case is x=1.8 y =0.4 represent the solutin for this problem

And we can verifty this since:

y = -2*1.8 +4 =0.4[/tex]

y = -1/3 *1.8 +1 =0.4[/tex]

So then the solution is correct.