SOLUTION: what is the solution of x+y=4 and 2x-y=-5
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Question 4822: what is the solution of x+y=4 and 2x-y=-5
Found 2 solutions by longjonsilver, Abbey:
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Go to the homework section on this site and look at the lessons i have done on linear equations. It explains them.
add the 2 equations together here and you get 3x = -1, so x=-1/3. put this in either equation to find y. THEN put both answers in the other equation to check your answer is correct!
jon
Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
This problem is perfect for the substitution method:
Rewrite x + y = 4 as
y = 4-x by subtracting x from both sides of the equation.
then use this (4-x) in the second equation for y:
2x-y=-5 as
2x-(4-x)=-5
Clear the parentheses:
2x-4+x=-5
Combine like terms:
3x-4=-5
3x-4+4=-5+4
3x=-1
Divide both sides by 3 to isolate the variable:
x=-1/3
By putting the x value back into either equation:
-1/3+y=4
y=4 2/3
After putting both x and y into the equations to verify the results:
-1/3 + 4 1/3 = 4
2(-1/3)-4 1/3 = -5
The solution set is:
(-1/3,4 1/3)
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