SOLUTION: Solve the system by graphing. 4x+5y=29 4x+2y=14 step by step so I can understand how to do it.

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Question 310952: Solve the system by graphing.
4x+5y=29
4x+2y=14
step by step so I can understand how to do it.

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
"Solve the system by graphing.
4x+5y=29
4x+2y=14
step by step so I can understand how to do it."
convert first equation to y=mx+b form
(where m is the slope, and b is the y-intercept)
4x + 5y = 29
5y = -4x + 29
y = (-4/5)x + (29/5)
y = -0.8x + 5.8
convert 2nd equation to y=mx+b form
4x + 2y = 14
2y = -4x + 14
y = -2x + 7
graph
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+10%2C+-0.8x%2B5.8%2C+-2x%2B7%29+
you can approximate x and y values of the intersect point from the graph
or to get the exact values first find x value then find y value
find x value of intersect point by setting both equations equal to one another
-0.8x + 5.8 = -2x + 7
-0.8x + 2x = 7 - 5.8
1.2x = 1.2
x = 1
find y value of intersect point and double check by plugging in x=1 into both equations
y = -0.8*(1) + 5.8 = -0.8 + 5.8 = 5
y = -2*(1) + 7 = -2 + 7 = 5
intersect point is (1,5)