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
The operation that could be used to eliminate the x-variable and find the value of y is: A. add 2 times the second equation to 3 times the first equation.
Given the following data:
[tex]2x - 4y = 6[/tex]
[tex]-3x + 3y = 9[/tex]
To determine the operation that could be used to eliminate the x-variable and find the value of y:
In order to eliminate the x-variable, we would add 2 times the second equation from 3 times the first equation:
Multiplying the first equation by 3, we have:
[tex]3[2x - 4y = 6]\\\\6x-12y=18[/tex]
Multiplying the second equation by 2, we have:
[tex]2[-3x + 3y = 9]\\\\-6x+6y=18[/tex]
Adding the two equations, we have:
[tex]6x-12y-18 + (-6x)+6y-18=0\\\\-6y-36=0\\\\-6y=36\\\\y=\frac{36}{-6}[/tex]
y = -6
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