Is (0 -2) a solution of 2x - 5y 10?

Answer 1

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).