Question

Determine the ordered pair that satisfies the equation, 6x - 8y = 3.

A (6,172)
B (-9,−578)
C (6 ,−398)
D (6 , -8)

Answer 1

B (-9,−57/8)

Explanation:

we know that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

we have

`6x-8y=3`

Verify each case

Substitute the value of x and the value of y in the linear equation and then compare the results

case A) (6,17/2)

For x=6, y=17/2

Substitute

`6(6)-8(17/2)=3`

`-32=3` -----> is not true

therefore

The ordered pair not satisfy the equation

case B) (-9,-57/8)

For x=-9, y=-57/8

Substitute

`6(-9)-8(-57/8)=3`

`3=3` -----> is true

therefore

The ordered pair satisfy the equation

case C) (6,-39/8)

For x=6, y=-39/8

Substitute

`6(6)-8(-39/8)=3`

`75=3` -----> is not true

therefore

The ordered pair not satisfy the equation

case D) (6,-8)

For x=6, y=-8

Substitute

`6(6)-8(-8)=3`

`100=3` -----> is not true

therefore

The ordered pair not satisfy the equation