SOLUTION: Find the common solution of each by substitution and graph it. 5x - 6y = -14 2x +5y = 24

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Question 955710: Find the common solution of each by substitution and graph it.
5x - 6y = -14
2x +5y = 24
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Imagine you have system%28ax%2Bby=k%2Ccx%2Bdy=r%29.

cx=r-dy
x=%28r-dy%29%2Fc
Now substitute in the other equation.
a%28r-dy%29%2Fc%29%2Bby=k
%28ar-ady%29%2Fc%2Bby=k
ar%2Fc-ady%2Fc%2Bby=k
-ady%2Bby=k-ar%2Fc
y%28-ad%2Bb%29=k-ar%2Fc
y%28b-ad%29=kc%2Fc-ar%2Fc
y%28b-ad%29=%28kc-ar%29%2Fc
highlight_green%28y=%28kc-ar%29%2F%28c%28b-ad%29%29%29, and you go back to x=(r-dy)/c and substitute what you found for y and simplify.

That is just to show you most fundamentally what you can do and using purely all numbers as symbols.

Computing with the existing constants and coefficients might be easier or maybe not; but at least you see the method.

Your solution should be system%28x=2%2Cy=4%29.
As ordered pair, (2,4).



graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C5x%2F6%2B7%2F3%2C-%282%2F5%29x%2B24%2F5%29

You can make the graph if first solve each equation for y in terms of x, and then use slopes and y-intercepts from the equations in slope-intercept form.