SOLUTION: Solve the system and give your answer as a point with no spaces. Ex: (4,5) -5x+8y=3 9x-9y=0 how do we do this?

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Question 1134165: Solve the system and give your answer as a point with no spaces. Ex: (4,5)
-5x+8y=3
9x-9y=0
how do we do this?
Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%289%28-5x%2B8y%29=9%2A3%2C5%289x-9y%29=5%2A0%29
Use this at least to eliminate x for solving for y.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the system and give your answer as a point with no spaces. Ex: (4,5)
-5x+8y=3
9x-9y=0
how do we do this?
Factor out GCF 9 in eq (ii). You should get x - y = 0 ----- eq (iii)

You can then multiply eq (iii) by 8, and then ADD to eq (i) to eliminate y and solve for x

Substitute value of x into any of the 2 ORIGINAL equations to get value of y.

OR

Solve eq (iii) in terms of x and then substitute that value into eq (i) to solve for the value of y

Substitute value of y into any of the 2 ORIGINAL equations to get value of x.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Usually, when the two equations are in the form Ax+By=C, it is easiest to solve the system by elimination.

However, in this case, there is a much easier path to the solution.

Note that the second equation is equivalent to x=y:
9x-9y+=+0
9x+=+9y
x+=+y

That makes solving the system trivial.
-5x%2B8y+=+3
-5y%2B8y+=+3
3y+=+3
y+=+1
x+=+y+=+1

ANSWER: (1,1)