Question

To solve this system of equations by elimination, what operation could be used to eliminate the x-variable and find the value of y? 2x − 4y = 6 −3x + 3y = 9 a) add 2 times the second equation to 3 times the first equation b) add 3 times the second equation to 2 times the first equation c) subtract 2 times the second equation from 3 times the first equation d) subtract 3 times the second equation from 2 times the first equation

Answer 1

The system of equations are:

2x − 4y = 6
−3x + 3y = 9

To eliminate x, you should:
1. multiply first equation with 3
2. multiply second equation with 2
3. add the new equations you got

So your answer is A.

Answer 2

Answer:

A)  add 2 times the second equation to 3 times the first equation

Step-by-step explanation:

add 2 times the second equation to 3 times the first equation

3(2x − 4y = 6)

2(−3x + 3y = 12)

6x − 12y = 18

−6x + 6y = 24

Adding the second equation to the first equation gives:

−6y = 42

y =  

42

−6

y = −7