Which of the following system of equations is not equal to the system of equations shown
7x - 3y = 4
2x - 4y = 1

a. 28x - 12y = 16 and -6x + 12y = -3
b. 14x - 6y = 4 and -14x + 28y = 1
c. -28x + 12y = -16 and 28x - 56y = 14

B

Step-by-step explanation:

7x - 3y = 4

2x - 4y = 1

A. if u take 7x - 3y = 4and multiply it by 4, u get 28x - 12y = 16

   if u take 2x - 4y = 1...and multiply it by -3, u get -6x + 12y = -3

  These are equivalent equations

B. if u take 7x - 3y = 4...multiply it by 2, u get 14x - 6y = 8

  not equivalent

C. if u take 7x - 3y = 4, multiply it by -4, u get -28x + 12y = -16

  if u take 2x - 4y = 1, multiply it by 14, u get 28x - 56y = 14

   equivalent equations

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:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.