SOLUTION: Solve: 7x-3y=26 2x+5y=25

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Question 170704: Solve: 7x-3y=26
2x+5y=25
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Line Eqn's: 7x-3y=26 -----------> A
2x%2B5y=25 -----------------------> B
In A:
3y=7x-26
cross%283%29y%2Fcross%283%29=%287x-26%29%2F3
y=%287%2F3%29x-%2826%2F3%29 ----------------> C
Subst. C in B:
2x%2B5%28%287%2F3%29x-%2826%2F3%29%29=25
2x%2B%2835%2F3%29x-%28130%2F3%29=25
%286x%2B35x%29%2F3=25%2B%28130%2F3%29=%2875%2B130%29%2F3=205%2F3,
%2841x%29%2Fcross%283%29=205%2Fcross%283%29
cross%2841%29x%2Fcross%2841%29=cross%28205%295%2Fcross%2841%29
highlight%28x=5%29
Subst. in C:
y=%287%2F3%295-%2826%2F3%29=%2835%2F3%29-%2826%2F3%29=9%2F3
highlight%28y=3%29
See the graph:
-------> Line A (Green) intersect at Line B (RED) at points (5,3) as shown (as computed too)
.
Thank you,
Jojo