Which ordered pair is in the solution set of \(3x - y = 10\)?
A. \((5, -5)\)
B. \((4, 2)\)
C. \((4, -2)\)
D. \((5, 5)\)
Answer (3)
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,
= 3 x − y = 10 = 3 ( 5 ) − ( − 5 ) = 10 = 15 + 5 = 10 = 20 = 10
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 ,
= 3 x − y = 10 = 3 ( 4 ) − ( 2 ) = 10 = 12 − 2 = 10 = 10 = 10
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 ,
= 3 x − y = 10 = 3 ( 4 ) − ( − 2 ) = 10 = 12 + 2 = 10 = 14 = 10
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 ,
= 3 x − y = 10 = 3 ( − 5 ) − ( 5 ) = 10 = − 15 − 5 = 10 = − 20 = 10
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 .
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The ordered pair (4, 2) is in the solution set of the equation 3 x − y = 10 . Upon substitution into the equation, it satisfies the equality. Hence, this is one of the correct solutions.
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