Question

4. Which ordered pair is a solution of 3y + 2 = 2x - 5?
A. (-5,2)
B. (0, -5)
C. (5, 1)
D. (7,5)

Answer 1

Answer:

we determine that none of the ordered pair is a solution of  $3y\:+\:2\:=\:2x\:-\:5$  as none of the ordered pairs satisfy the equation.

Step-by-step explanation:

Considering the equation

$3y\:+\:2\:=\:2x\:-\:5$

• Putting (-5,2) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(2\right)\:+\:2\:=\:2\left(-5\right)\:-\:5$

$8=-15$         ∵ L.H.S ≠ R.H.S

FALSE

• Putting (0,-5) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(-5\right)\:+\:2\:=\:2\left(0\right)\:-\:5$

$-13=-5$       ∵ L.H.S ≠ R.H.S

FALSE

• Putting (5,1) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(1\right)+\:2\:=\:2\left(5\right)-\:5$

$5\:=-5$          ∵ L.H.S ≠ R.H.S

FALSE

• Putting (7,5) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(5\right)+\:2\:=\:2\left(7\right)-\:5\:\:$

$17=9$          ∵ L.H.S ≠ R.H.S

FALSE

From the above calculations, we determine that none of the ordered pair is a solution of  $3y\:+\:2\:=\:2x\:-\:5$  as none of the ordered pairs satisfy the equation.