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,
\(= 3x - y = 10\\\\=3(5) - (-5) = 10\\\\=15 + 5 = 10\\\\=20
eq 10\)
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,
\(= 3x - y = 10\\\\=3(4) - (2) = 10\\\\=12 -2= 10\\\\=10 =10\)
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,
\(= 3x - y = 10\\\\=3(4) - (-2) = 10\\\\=12 + 2= 10\\\\=14
eq 10\)
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,
\(= 3x - y = 10\\\\=3(-5) - (5) = 10\\\\=-15 -5= 10\\\\=-20
eq 10\)
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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