1. Which of the ordered pairs in the form (x, y) is a solution of this equation?
3x + 2y = 6

A. (4, −3)
B. (8, −5)
C. None are solutions.
D. (−2, 0)

2. Solve the equation for y.
2x+5y=5

A. y=-10x+25
B. y=-2/5 x+1
C. y=2/5 x+5
D. y=2/5 x+1

3. Which statement is true about the equation?
3y – 6x = –3

A. When x = −4, y = 7 and when x = 2, y = 3.
B. When x = −4, y = −7 and when x = 2, y = −3.
C. When x = −4, y = 9 and when x = 2, y = 3.
D. When x = −4, y = −9 and when x = 2, y = 3.

Part 1: Option A : is the solution to the equation

Part 2: Option B : is the equation for y.

Part 3: Option D: When and when

Explanation:

Part 1: The equation is

The solution of the equation can be determined when the ordered pair satisfies the equation

Substituting in the equation , we have,

Thus, the ordered pair satisfies the equation

Hence, Option A is the correct answer.

Part 2: The equation is

Let us solve the equation for y.

Dividing both sides by 5, we have,

Thus, the equation for y is

Hence, Option B is the correct answer.

Part 3: The equation is

To determine the true statement, we need to substitute the value of x and y in the equation and find out which x and y values results in the equation to be true.

When and when

First, let us substitute in the equation

Now, let us substitute in the equation

Thus, the equation is true when and when

Hence, Option D is the correct answer.