Question

Which ordered pair is a solution of this

equation?
-5x – 3y = 22
Click on the correct answer.
(-4,-2)
(-4,-1)
(
(-2,-4)
(
(-1,-4)
)

Answer 1

Option 3

(-2,-4) is a solution to given equation -5x - 3y = 22

Solution:

Given equation is -5x - 3y = 22

To find: ordered pair

Which means we have to find the x and y co-ordinate i.e (x, y)

We can check with each option to see if that option satisfies the given equation

Option 1: (-4, -2)

Substitute x = -4 and y = -2 in given equation

-5(-4) - 3(-2) = 22

20 + 6 = 22

`26 \\eq 22`

Thus option 1 doesnt satisfies given eqn. So (-4, -2) is not a solution to given equation

Option 2: (-4,-1)

Substitute x = -4 and y = -1 in given equation

-5(-4) - 3(-1) = 22

20 + 3 = 22

`23 \\eq 22`

Thus option 2 doesnt satisfies given eqn. So (-4, -1) is not a solution to given equation

Option 3: (-2,-4)

Substitute x = -2 and y = -4 in given equation

-5(-2) - 3(-4) = 22

10 + 12 = 22

22 = 22

Thus option 3 satisfies the given equation. So (-2, -4) is a solution to given equation

Option 4: (-1, -4)

Substitute x = -1 and y = -4 in given equation

-5(-1) - 3(-4) = 22

5 + 12 = 22

`17 \\eq 22`

Thus option 4 doesnt satisfies given eqn. So (-1, -4) is not a solution to given equation