As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor should she multiply both sides of the other equation so that she can add the equations and eliminate a variable? 5x + 6y = 18
2x – 3y = 12

3

Step-by-step explanation:

First, we can start by multiplying the equation 2x - 3y = 12 by six to see where that gets us,

2x - 3y = 12 --> 12x - 18y = 72

12x - 18y = 72

5x + 6y = 18 (other equation)

We can notice that eliminating the y term would be the easiest to go about, so we want to find the number that we can multiply 6 by to get 18. That number is 3, so the factor is 3.

answer is c

step-by-step explanation:

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions