Graph the system of equations. {4x+4y=16x+6y=−6 Use the Line tool to graph the lines.

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kmerit kmerit

23-01-2019
Mathematics

contestada

Graph the system of equations. {4x+4y=16x+6y=−6 Use the Line tool to graph the lines.

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skopie skopie · Answer 1 · 2019-02-02T03:13:20+01:00

Answer:

Step-by-step explanation:

The two equations given to us are

4x+4y=16

x+6y=−6

Lets draw the two lines one by one ,

We can use the intercepts to draw a straight line ,

For 4x+4y = 16

Plug x=0 :

4(0)+4y=16

y=4

so (0,4)

plug y=0

4x+4(0)=16

x=4

so point is (4,0)

x-int= (4,0)

y-int= (0,4)

Similarly for the second line x+6y=-6

plug x=0

0+6y=-6

y=-1

plug y=0

x+6(0)=-6

x=-6

so two points are (0,-1) and (-6,0)

Check the attached image for the graph.

MrRoyal MrRoyal · Answer 2 · 2022-02-25T12:10:04+01:00

MrRoyal MrRoyal

25-02-2022

The solution of the system of equations is (6,-2)

The system of equations is given as:

4x+4y=16

x+6y=−6

Next, we plot the graphs of 4x+4y=16 and x+6y=−6

From the attached graph, we have the point of intersection of 4x+4y=16 and x+6y=−6 to be:

(x,y) = (6,-2)

Hence, the solution of the system of equations is (6,-2)

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