SOLUTION: Can you please help me solve this linear equation using substitution
1/2x + 2/3y = 1
1/4x - 1/3y = 5/2
Thank you.
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Question 701519: Can you please help me solve this linear equation using substitution
1/2x + 2/3y = 1
1/4x - 1/3y = 5/2
Thank you.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
It's not perfectly clear to me, but
I assume that the problem is , and I'll solve that.
If I had a choice, I would not solve that system by substitution.
--> -->
Substituting for in we get
--> --> --> --> --> .
Then, substituting for in , we get
--> --> .
If I could choose how to solve it,
I would first transform the equations,
so as to get equivalent equations without fractions.
--> (multiplying everything times 6)
--> (multiplying everything times 12)
Then I would add both equations to get
--> .
I would also subtract the second equation from the first one to get
--> .
IF THE PROBLEM WAS
,
That's the same as
.
That could be solve the same way for and to get
and
Then the solutions would be and .
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