Rileyace
Answered

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Which ordered pair is in the solution set of 3x-y=10

A. (5,-5)
B. (4,2)
C. (4,-2)
D. (_5,5)

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Plz!!!!

Sagot :

B as if you plug the co-ordinates into the equation and it equals 10: (3x4)-2= 12-2 =10

A doesn't work as the answer is 20

C doesn't work as the answer is 14

D doesn't work as the answer is -20

The (4,2) ordered pair is in the solution set of 3x - y = 10.

We have to determine, which ordered pair is in the solution set of 3x-y=10.

According to the question,

An ordered pair is a combination of the x coordinate and the y coordinate, having two values written in a fixed order within parentheses.

To find the solution of the equation is ordered pair substitute the value of x and y co-ordinate to check set of ordered pair is the solution of the given equation.

Equation; 3x - y = 10

  • The set of ordered pair (5,-5) substitute in the equation,

[tex]= 3x - y = 10\\\\=3(5) - (-5) = 10\\\\=15 + 5 = 10\\\\=20 \neq 10[/tex]

The set of ordered pairs (5,-5) is not the solution of the equation.

  • The set of ordered pair (4, 2) substitute in the equation,

[tex]= 3x - y = 10\\\\=3(4) - (2) = 10\\\\=12 -2= 10\\\\=10 =10[/tex]

The set of ordered pairs (4, 2) is not the solution of the equation.

  • The set of ordered pair (4,-2) substitute in the equation,

[tex]= 3x - y = 10\\\\=3(4) - (-2) = 10\\\\=12 + 2= 10\\\\=14 \neq 10[/tex]

The set of ordered pairs (4,-2) is not the solution of the equation.

  • The set of ordered pair (-5, 5) substitute in the equation,

[tex]= 3x - y = 10\\\\=3(-5) - (5) = 10\\\\=-15 -5= 10\\\\=-20 \neq 10[/tex]

The set of ordered pairs (-5,5) is not the solution of the equation.

Hence, The (4,2) ordered pair is in the solution set of 3x - y = 10.

To know more about Ordered Pair click the link given below.

https://brainly.com/question/13688667

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