Use the triangle midsegment theorem to solve for x.

what is ax?

2 units
4 units
6 units
8 units

The triangle midsegment theorem states that if the midpoints of two sides of any triangle are joined by a line, then that line is parallel to the third side and its length is half of that third side.

With that statement, we can define that:

side AB = 0.5 (side XY)

x + 1 = 0.5 (5 x – 7)

x + 1 = 2.5 x – 3.5

1.5 x = 4.5

x = 3

Therefore, the length of side AX can now be calculated given x:

AX = 2 x – 2

AX = 2 * 3 – 2

AX = 4

AX = 4 units

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18