SOLUTION: If the two given equations are being solved so that one unknown is eliminated by the method of comparison. How is this problem expressed in an equation?
3x+2y=7
6x-5y=8
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: If the two given equations are being solved so that one unknown is eliminated by the method of comparison. How is this problem expressed in an equation?
3x+2y=7
6x-5y=8
Log On
Question 258106: If the two given equations are being solved so that one unknown is eliminated by the method of comparison. How is this problem expressed in an equation?
3x+2y=7
6x-5y=8 Found 2 solutions by drk, richwmiller:Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! We have the following:
(i) 3x+2y=7
(ii) 6x-5y=8
If by comparison, you mean substitution, then multiply (i) by 2 to get
(iii) 6x+4y=14
(ii) 6x-5y=8.
Solve (ii) and (iii) for 6x to get
(iv)6x = 14-4y
(v) 6x = 8+5y
Now,
(vi) 14-4y = 8+5y
we can solve this for y and get y = 2/3. Then find x as x = 17/9
You can put this solution on YOUR website! http://www.tpub.com/content/doe/h1014v1/css/h1014v1_151.htm
solve each equation for the same variable and then set the two equal to each other
3x+2y=7
6x-5y=8
solve first for x
and solve second for x
3x=7-2y
x=(7-2y)/3
solve second for x
6x-5y=8
6x=8+5y
x=(8+5y)/6
(8+5y)/6=(7-2y)/3
(
