Question

Solve the system of equations using elimination:

6x + 2y = -12
4x + 3y = 7
What should you multiply by to eliminate the variable y?
A) Multiply the first equation by 2
B) Multiply the second equation by 3
C) Multiply the first equation by 3
D) Multiply the second equation by 2

Answer 1

To eliminate the variable y in the system of equations 6x + 2y = -12 and 4x + 3y = 7, you should multiply the first equation by 2. This will make the coefficient of y in both equations equal to 4.

Step-by-step explanation:

To eliminate the variable y in the system of equations 6x + 2y = -12 and 4x + 3y = 7, you should multiply the first equation by 2. This will make the coefficient of y in both equations equal to 4. Here are the steps:

1. Multiply the first equation by 2: 12x + 4y = -24
2. Leave the second equation as it is: 4x + 3y = 7
3. Now, you can subtract the new equation (12x + 4y = -24) from the second equation (4x + 3y = 7) to eliminate y: