Question

Which graph shows the solution to the given system?

y = -5x – 2
y + 2 = -5x
infinitely many solutions

Answer 1

The graph of the equation passes through the points (
`- (2)/(5),0`) and (
`0,- 2`) points.

Explanation:

The given system of equations are

y = - 5x - 2 ......... (1) and

y + 2 = - 5x ......... (2)

⇒ y = - 5x - 2

So, the equations (1) and (2) are basically the same equations.

Therefore, there is a single linear equation of two variables x and y.

Hence, there will be infinite solutions to the equation.

The graph of the line (1) is the solution to the equation.

Now, the equation (1) can be arranged to

y + 5x = - 2

⇒
`(x)/(- (2)/(5)) + (y)/(- 2) = 1`{ The intercept form of the equation}

Therefore, the graph of the equation passes through the points (
`- (2)/(5),0`) and (
`0,- 2`) points. (Answer)