Giving the brainliest answer

what is the solution to the system:

y=2/3 x - 1 and y=-1/2 x + 6

-3, -6)
(3, 6)
(6, 3)
(-6, -3)

(6,3)

Step-by-step explanation:

y=2/3 x - 1

y=-1/2 x + 6

Since both equations are equal to y, we can set them equal

2/3 x - 1 =-1/2 x + 6

We have fractions, so I will multiply by 6 to clear the fractions

6(2/3 x - 1) =(-1/2 x + 6)6

Distribute

4x -6 = -3x +36

Add 3x to each side

4x+3x -6 = -3x+3x +36

7x -6 = 36

Add 6 to each side

7x-6+6 = 36+6

7x = 42

Divide each side by 7

7x/7 = 42/7

x =6

Now we need to find y

y =2/3x -1

y = 2/3(6) -1

y = 4-1

y=3

(6,3)

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.