Question

Is the point 20,5 a solution to 6x+10y=150?

Answer 1

Answer: No

Explanation:

When you want to determine if a point is on the graph of an equation, you want to validate whether the equation with substituted values equals the right side.

We have the point (20, 5) to verify whether it fits into the graph of the equation
`6x + 10y = 150` or not.

The x-coordinate (left side of the coordinate) is 20 so we substitute x for 20. Our y-coordinate (right side of the coordinate) is 5 so we substitute y for 5.

`x = 20\\y = 5\\\\6x + 10y = 150\\6(20) + 10(5) = 150\\120 + 50 = 150\\170 = 150\\170 \\eq 150`

Since the left (substituted) side 170 is not equal to the right side 150, we can confirm that the point (20, 5) is not a solution to the equation
`6x + 10y = 150`