Question 310952
"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( 300, 300, -5, 5, -5, 10, -0.8x+5.8, -2x+7) }}}
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)