What is the solution to the system of equations graphed below?
y = x+2 y=3x-2

(2, 4)

x = 2

y = 4.

Step-by-step explanation:

To find the solution to the system of equations, we can simply set the two equations equal to each other as shown:

x + 2 = 3x - 2

Subtract 'x' from both sides:

2 = 2x - 2

Add '2' to both sides:

4 = 2x

x = 2.

Plug this value for 'x' into an equation to solve for 'y':

y = (2) + 2

y = 4.

Therefore, the solution to the system is (2, 4).

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)