Question

Please help, I give brainliest.

Answer 1

D satisfies the lines  $y=3x-2$   and  $y=-2x+3$   where they intersect each other.

Given equations:

y = 3x - 2

y = -2x + 3

solve for x:

3x - 2 = -2x + 3

3x + 2x = 3 + 2

5x = 5

x = 1

solve for y:

y = 3x - 2

y = 3(1) - 2

y = 3 - 2

y = 1

coordinates where these lines satisfies area: ( 1 , 1)

Answer 2

Answer:

D (1, 1)

Step-by-step explanation:

y = 3x - 2

y = -2x + 3

The solution is the point of intersection.

To find the point of intersection, equate the equations and solve for x, then substitute found value of x into one of the equations and solve for y:

            y = y

⇒ 3x - 2 = -2x + 3

⇒       5x = 5

⇒         x = 1

when x = 1:  y = 3(1) - 2 = 1

Therefore point of intersection is (1, 1)