The equation below was solved incorrectly. study the work below.
5x + 5 = -3(x - 1)
step 1: 5x + 5= -3x + 3
step 2: 2x= -2
step 3: x = -1
1. describe the mistake in the work shown above.
2. what is the solution to the equation 5x + 5= -3(x - 1) ? show all work

Step-by-step explanation:

Step 1 is correct: 5x + 5 = -3x + 3

add 3x to both sides: 8x + 5 = 3

add -5 to both sides: 8x = -2

divide both sides by 8: x=-1/4

check answer by inserting -1/4 for x into original equation:

5(-1/4) + 5 = -3(-1/4-1)

-5/4 + 20/4 = 3/4 + 3

15/4 = 3/4 + 12/4

15/4 = 15/4 so answer of -1/4 is correct.

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)

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.