Question

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

Answer 1

Answer:

B (-9,−57/8)

Step-by-step 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