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Ответ:

zodiacpumpkin1126

09.01.2023

Mathematics

X = $-\frac{1}{2}$

Y= -2

Step-by-step explanation:

In order to graph these equations, you need to solve for y in both of these equations. You need to put the equations into slope intercept form which is: y=mx+b

1. The first equation to solve is: -2x + y=3

-2x=y +3 (subtract y from both sides)

-2x-3=y (subtract 3 from both sides)

y = -2x-3 (rearrange the problem so y is in the front)

2. The second equation to solve is 4x+2y=2

4x=-2y+2 (subtract 2y to both sides)

4x-2=2y (subtract 2 from both sides)

2x-1 = y (divide both sides by 2 to get y by itself)

y = 2x-1 (rearrange the problem so y is in the front)

Both equations are in slope intercept form. As you can tell, the slopes are different because one equation has a slope of -2 and a slope of 2. Since there slopes are different they will be intersecting lines, not parallel.

If you graph the equations you will find that they intersect at the point $(-\frac{1}{2} ,-2)$

I will upload a screenshot below.

The graph of this system of equations is which of the following? −2x + y = 3 4x + 2y = 2

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