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For the given system of equations, what number should you multiply the first equation by in order to eliminate the y variable and solve for x ? x+y=4 2x-3y=18

          For the given system of equations, what number should you multiply the first equation by in order to eliminate the y variable and solve for x ? x+y=4 2x-3y=18
        

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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For the given system of equations, what number should you multiply the first equation by in order to eliminate the y variable and solve for x ? x+y=4 2x-3y=18
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Transcript

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00:01 We have the following system, and we're going to solve it.
00:05 So if the first question is, what number would you multiply the second equation in order to eliminate the first terms? so the second equation, second equation will be multiplied by three to get rid of x terms.
00:39 And for the first one to get rid of the first equation, so first equation will be multiplied by two to get rid of y terms.
00:59 It doesn't matter which one you start with, they're both about the same.
01:02 So i'm going to start with the second one.
01:04 So i'm multiplied by three.
01:05 So i get 6x minus 3y is equal to 3, negative 6x plus 18y is equal to 3.
01:12 To 14 times 3.
01:17 14 times 3.
01:20 That's 42.
01:22 So this becomes, goes away...
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