5x-2y=20
Subtract 5x on both sides to see what y equals.
-2y=20-5x
Divide by -2 on each side.
y=-10+(5/2)x or
y = (5/2)x - 10 (the slope-intercept form of the equation of a line, where the y-intercept is -10)
Add 2y to both sides to see what x equals.
5x=20+2y
Divide by 5 on each side.
x=4+2/5y or
x = (2/5)y + 4, where 4 is the x-intercept.
(all this work is to show that when the value of y is zero, the line cuts the x-axis at 4)
Now plug in what x equals into the equation of what y equals to get the exact value of y.
y=-10+5/2x
y=-10+5/2(4+2/5y)
Distribute the 5/2 to the (4+2/5y) in parentheses.
y=-10+10+y
Combine like terms.
y=y+0
Subtract y on both sides.
0y=0
Divide by 0 on each side.
y=0
Now plug in what y equals to into what x equals to find the exact value of x.
x=4+2/5y
x=4+2/5(0)
x=4+0
x=4
Your first solution to the data is (4,0).
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== == y = -x + 5
write equation in standfrd form y =mx + b where b = y intercept 5x - 2y =20 5x -20 = 2y 5/2 x -10 = y when x = 0 y = -10, the y intercept
-5
-2x = 20 + 5y-2x - 20 = 5y-2/5x - 4 = yX Intercept = (-10,0) or -10Y Intercept = (0,-4) or -4
-2t = -10