Question

Which of the ordered pairs in the form X, Y is a solution of this equation

Answer 1

The first is a solution, but the second is not

Explanation:

we know that

If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation (makes the equation true)

we have

`5x-(y)/(3)=13`

Verify the first ordered pair

Part a) we have (2,-9)

For x=2, y=-9

substitute in the linear equation

`5(2)-((-9))/(3)=13`

`10-(-3)=13`

`10+3=13`

`13=13` ----> is true

so

The ordered pair satisfy the equation

The ordered pair is a solution of the equation

Verify the second ordered pair

Part b) we have (3,-6)

For x=3, y=-6

substitute in the linear equation

`5(3)-((-6))/(3)=13`

`15-(-2)=13`

`15+2=13`

`17=13` ----> is not true

so

The ordered pair not satisfy the equation

The ordered pair is not a solution of the equation