Find an ordered pair that is solution for linear equation 4x-5y=20

Question

asked Aug 28, 2020 158k views

1 Answer

Iliar Turdushev · Answer 1 · 2020-09-04T03:29:19+0000

Answer:

(5,0) is the solution of the given equation.

(0,-4) is the solution of the given equation.

Explanation:

Here, the given equation is: 4 x- 5y = 20

Now, we need to find a value for (x,y) such that the above equation is satisfied.

The ONLY POSSIBLE way to do this is Hit and Trial.

Let us substitute x = 0

Then the equation becomes : 4 (0) - 5y = 20

or, -5 y = 20 ⇒ y = -20/5 = - 4

So, for x = 0, y = - 4

So, (0,-4) will be the solution of the given equation.

Let us substitute y = 0

Then the equation becomes : 4 (x) - 5(0) = 20

or, 4 x = 20 ⇒ x = 20/4 = 5

So, for x = 5, y = 0

So, (5,0) will be the solution of the given equation.

We can try another substitution as well.

For any value of x, we will get a corresponding value of y. So, (x,y) will be the solution of the given equation.