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

Question

asked Jun 21, 2020 133k views

1 Answer

Jakub Hampl · Answer 1 · 2020-06-27T04:54:58+0000

Answer:

Explanation:

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

$0=-(1)/(2)x+3\\\\-3=-(1)/(2)x\\\\(-3)(-2)=x\\\\x=6$

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

$y=-(1)/(2)(0)+3\\\\y=3$

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)