I'm trying to solve this using the elimination process:
have i done it right so far? I'm new to the elimination process..
2x + 1/2y = 7
Stacey Warren - Expert brainly.com
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lets get rid of the fraction in the first equation by multiplying it by 2..
(2)3x + (2)5/2y = (2)21
6x + 5y = 42(thats better)
Now the problem reads....
6x + 5y = 42
x + 2y = 14 --->(-6)x + 2y = 14
6x + 5y = 42
-6x - 12y = - 84 (result of multiplying by -6)
0 - 7y = - 42
-7y = - 42 (divide by -7 to get y by itself)
-7y/-7 = -42/-7
y = 6
now sub 6 in for y in either of the original equations...
x + 2y = 14
x + 2(6) = 14
x + 12 = 14 (subtract 12 from both sides to get x by itself)
x + 12 - 12 = 14 - 12
x = 2
now check by subbing in your known variables...
x + 2y = 14
2 + 2(6) = 14
2 + 12 = 14
14 = 14 (correct)
What you have to try to do in elimination is eliminate " get rid of " one of the variables, so you can find the other variable. Sometimes you have to do this by multiplying the equation by a number so that the variables will cancel each other out. That is why I multiplied the second equation by a -6. And as you can see, it made the x's cancel out and I was able to solve for y. Once finding y, I then substituted what I got for y into the second equation and found x. You can substitute into either one of the equations and you will get the answer. Then I checked my answer by subbing in the known variables and if they equal, which they did, then the problem is correct.