SOLUTION: how do i solve this by substitution: 5x+2y=9 y=-x-3 and how do i solve it bye graphing

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Question 1106880: how do i solve this by substitution: 5x+2y=9
y=-x-3 and how do i solve it bye graphing

Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You just substitute one variable's formula for the other.
You already have a formula for y. Use the expression in the first equation.
YOU DO IT! Solve for x. Finish.


Just solve both equations for y in terms of x and use slope and y-intercepts to graph and find the intersection point.
graph%28300%2C300%2C-3%2C8%2C-8%2C3%2C-x-3%2C-%285%2F2%29x%2B9%2F5%29
Read it as well as you can. Try on paper if you want (graph PAPER).

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve this by substitution: 5x+2y=9 ; y=-x-3
5x+2(-x-3) = 9
5x-2x-6 = 9
3x = 15
x = 5
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y = -x-3 = -5-3 = -8
Ans:: (5,-8)
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and how do i solve it by graphing
graph y = -x-3
If x = 0, y = -3
If x = -3, y = 0
Plot (0,-3) and (-3,0) and draw a line thru them.
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graph 5x+2y = 9
y = (-5x+9)/2
If x = 0, y = 9/2
If x = 1/5, y = 4
Plot (0,4.5) and (1/5,4) and draw a line thru them.
graph+%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x-3%2C%28-5x%2B9%29%2F2%29
The lines intersect at (5,-8)
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Cheers,
Stan H.
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