Which of the following steps would you perform to the system of equations below so that the equations have opposite y-coefficients?

4x +2y=4
12x + y=22

a. divide both sides of the top equation by 3
b. divide both sides of the bottom equation by 2
c. multiply both sides of the bottom equation by 3
b. multiply both sides of the top equation by 3

B. divide both sides of the bottom equation by 2

Step-by-step explanation

If opposite means additive inverse, then none of the answers is correct

The given system of equations is

4x+2y=4

12x+y=22

The coefficient of y in the top equation is 2 and the coefficient of y in the bottom equation is 1.

One way to make the coefficient of y have opposite sign is to multiply the bottom equation by -2 to get:

4x+2y=4

-24x-2y=-44

Or we divide the top equation by -2

-2x-y=-2

12x+y=22

If opposite means, multiplicative inverse, then dividing through both sides of the bottom equation by 2 gives:

4x +2y=4

6x + ½y=11

Hence the second choice is correct.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

uhhh idk u yolo?