Determine Whether a Point Is a Solution

Determine whether the ordered pair is a solution of y=2x-4.
(-4,5)

• Yes

• No

What ordered pair is a solution of 2y - 3x = 8

• (6,13)

• (19, 4)

• (10,4)

• (4,0)

Which of these is a solution to the equation
y = -5x?

• (1,5)

• (5, 1)

• (1, -5)

• (-5, 1)

Which of these is a solution to the equation
y = 2x - 7?

• (2,-3)

• (0, 7)

• (3, 2)

• (-4, -1)

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.

Is the point (2,0) a solution?

• Sometimes

• Yes

• No

Hint: Points on a line are in the form (x, y).

• Yes, the point (0, 4) makes both equations true.

• No, the point (0, 4) makes the top equation true but the bottom equation false.

• No, the point (0, 4) makes the bottom equation true but the top equation false.

• No, the point (0, 4) makes both equations false.

Answer explanation

The point given is (0, 4), which means x=0 and y=4. Plug these values into both equations and evaluate to see if the left hand side is equal to the right hand side of each equation.

Is (-2,4) a solution to the system?

• Solution

• Not a solution

Is the points (-4, 4) a solution to the system of equations?

• Yes

• No

(0,-3) ​​ (a)   so it ​ (b)   a solution to the system of equations.

• makes only one equation true

• is not

• is

• makes both equations true

• makes neither equation true

• does not make either one true