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FinnZ [79.3K]
3 years ago
11

I need this fast!........................

Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:  (2,2)

Step-by-step explanation:

1. Substitute y=0 into first equation and solve for "x" in order to find the x-intercept of the first line:

0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6

2. Substitute x=0 into the first equation and solve for "y" in order to find the y-intercept of the first line:

y=-\frac{1}{2}(0)+3\\\\y=3

Knowing that first line passes through the points (6,0) and (0,3), you can graph it.

3. Substitute y=0 into second equation and solve for "x" in order to find the x-intercept:

0=2x-2\\\\2=2x\\\\x=1

4. Substitute x=0 into the second equation and solve for "y" in order to find the y-intercept of the second line:

y=2(0)-2\\\\y=-2

Knowing that second line passes through the points (1,0) and (0,-2), you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

(2,2)

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