Question

for each ordered pair, determine whether it is a solution to 7x -4y=-5. (x,y) (-2,6) it is a sulution yes or no (1,3) it is a solution yes or no -3,-4 it is a solution yes or no. (4,2) it is a solution yes or no

Answer 1

The following equation is given:

7x - 4y = -5

All the possible solutions of the equation must satisfy equality.

Let's test if the following ordered pairs (x,y) are solutions or not.

• (-2,6)

For this ordered pair, x=-2 and y=6. Substitute into the equation:

7(-2) - 4(6) = -5

Operate:

-14 - 24 = -5

-38 = -5

Since equality is false, this point is not a solution: NO

Now test the next ordered pair:

• (1,3)

Here: x=1, y=3. Substitute:

7(1) - 4(3) = -5

Operate:

7 - 12 = -5

-5 = -5

This equality is true, thus (1,3) is a solution of the equation: YES

• (-3,-4)

Here: x=-3, y=-4. Substitute:

7(-3) - 4(-4) = -5

Operate:

-21 + 16 = -5

-5 = -5

The equality is true, thus (-3,-4) is a solution of the equation: YES

• (4,2)

Here: x=4, y=2. Substitute:

7(4) - 4(2) = -5

28 - 8 = -5

20 = -5

This equality is false. The ordered pair is not a solution. NO

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