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micieloalvarado
20.07.2019 •
Mathematics
To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 2x − 4y = 6 −3x + 3y = 12 a) add 3 times the second equation to 4 times the first equation b) add 4 times the second equation to 3 times the first equation c) subtract 3 times the second equation from 4 times the first equation d) subtract 4 times the second equation from 3 times the first equation
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Ответ:
Option B is correct.
add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
Given the system of equation:
Multiply equation [1] by 3 we get;
Using distributive property;![a\cdot (b+c) = a\cdot b+ a\cdot c](/tpl/images/0113/3674/06966.png)
6x - 12y = 18 .......[3]
Multiply equation [2] by 4 we get;
Using distributive property we get;
-12x + 12y = 48 ......[4]
Add equation [3] and [4] to eliminate y and solve for x;
(6x -12y) + ( -12x +12y ) = 18 + 48
6x - 12y -12x + 12y = 66
Combine like terms;
6x - 12x = 66
or
-6x = 66
Simplify:
x = -11
Therefore, the operation which could be used to eliminate the y-variable and find the value of x is;
add 4 times the second equation to 3 times the first equation.
Ответ:
For the first one, I believe it's RT and TV - ST and TU
Second one, first and second answer.
And third is SSS I believe
Really hope this helps you out, I struggle a bit in Geometry as well, so I get what you're going through