SOLUTION: Solve the system by substitution: x= -5/9y-10/9 y=2/3x+31/3

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Question 953636: Solve the system by substitution:
x= -5/9y-10/9
y=2/3x+31/3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x=+-%285%2F9%29y-10%2F9.......eq.1
y=%282%2F3%29x%2B31%2F3......eq.2
---------------------------------substitute x from eq.1 in eq.2
y=%282%2F3%29%28-%285%2F9%29y-10%2F9%29%2B31%2F3......eq.2............solve for y

y=-%2810%2F27%29y-20%2F27%2B31%2F3..............both sides multiply by 27
27y=-10y-20%2B31%2A9
27y%2B10y=-20%2B279
37y=259
y=259%2F37
highlight%28y=7%29
go to x=+-%285%2F9%29y-10%2F9.......eq.1 substitute 7 for y and solve for x
x=+-%285%2F9%297-10%2F9
x=+-35%2F9-10%2F9
x=+-45%2F9
highlight%28x=+-5%29