Question 436222: Could someone please show me how to solve the system by the elimination method?
5x + 3y = -11
7x -2y = 19 Found 2 solutions by rwm, htmentor:Answer by rwm(914) (Show Source):
You can put this solution on YOUR website! multiply the first by 2 and the second by 3 and add them
solve for x
then plug in the found value of x into either of the original equations and solve for y
You can put this solution on YOUR website! Use one of the equations to express one of the variables in terms of the other.
In this case, let's solve y in terms of x using the 1st equation:
5x + 3y = -11
3y = -5x - 11
y = -5/3x - 11/3
Now substitute this value for y into the 2nd equation:
7x - 2(-5/3x - 11/3) = 19
7x + 10/3x + 22/3 = 19
Solve for x:
31/3x = 35/3 -> x = 35/31
Substitute this value into the equation for y above:
y = -5/3(35/31) - 11/3
This gives y = -175/93 - 341/93 = -516/93 = -172/31
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