Question

Determine the ordered pair that satisfies the equation, 6x - 3y = 5.

Answer 1

Answer:

Option d

Step-by-step explanation:

Given is a linear equation in x and y as

$6x-3y =5$

To check whether a point satisfies the equation, let us substitute and check whether the equation holds good

a) $6(9)-3(16/3) = 38 \neq 5$

b) $6(6)-3(-3) \neq 5$

c) $6(1)-3(-11/3) = 17\neq 5$

d) $6(-2)-3(-17/3) = -12+17 =5$

Since last point satisfies the equation, option d is the answer.

Answer 2

Given the equation $6x-3y=5.$

Check all options:

A. $\left(9,\dfrac{16}{3}\right)$, this means that $x=9, y=\dfrac{16}{3}.$ Substitute these numbers into the left side of the equation equation:

$6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.$

This option is false.

B.  $\left(6,-3\right)$, this means that $x=6, y=-3.$ Substitute these numbers into the left side of the equation equation:

$6\cdot 6-3\cdot (-3)=36+9=45\neq 5.$

This option is false.

C.  $\left(1,-\dfrac{11}{3}\right)$, this means that $x=1, y=-\dfrac{11}{3}.$ Substitute these numbers into the left side of the equation equation:

$6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.$

This option is false.

D.  $\left(-2,-\dfrac{17}{3}\right)$,  this means that $x=-2, y=-\dfrac{17}{3}.$ Substitute these numbers into the left side of the equation equation:

$6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.$

This option is true.

Answer: correct choice is D.