Find the value of x and y that make these triangles congruent by the hl theorem.

c

step-by-step explanation:

for congruency corresponding sides are equal, that is

x + 3 = y - 1 → (1)

2x - 1 = y - 3 → (2)

subtract (1) from (2) term by term

(2x - x) + (- 1 - 3) = (y - y) + (- 3 - (- 1)) , simplifying gives

x - 4 = - 2 ( add 4 to both sides )

x = 2

substitute x = 2 into (1) for corresponding value of y

2 + 3 = y - 1

5   = y - 1 ( add 1 to both sides )

6 = y

hence for congruency x = 2 and y = 6

b

step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get