Question

Which ordered pair is a solution of the equation?
4x-1=3y+5
Choose 1 answer:

a)Only (3,2)

b) Only (2,3)

c) Both (3,2) and (2,3)

d) Neither

Answer 1

Hello!

Let's substitute the values for each ordered pair into the equation and see which one works.

4(3)-1=6+5
12-1=11
11=11

A is a solution

7=14

B is not a solution.

Therefore, a) only (3,2) is a solution to the equation.

I hope this helps!

Answer 2

Replacing the ordered pairs into the equation, we find that the correct option is:

a) Only (3,2) .

The equation is:

$4x - 1 = 3y + 5$

An ordered pair (x,y) is a solution to the equation if we replace (x,y) in the equation and get an identity.

Ordered pair (3,2).

$x = 3, y = 2$, thus:

$4(3) - 1 = 3(2) + 5$

$12 - 1 = 6 + 5$

$11 = 11$

(3,2) is a solution.

Ordered pair (2,3).

$x = 2, y = 3$, thus:

$4(2) - 1 = 3(3) + 5$

$8 - 1 = 8 + 5$

$9 \neq 13$

(2,3) is not a solution.

Thus, the correct option is:

a) Only (3,2) .

A similar problem is given at https://brainly.com/question/23636210