ich ordered pair (x,y)
is a solution to the following?
y=3x+10
f (-3, 1) g (2, 13) h (1, 11) j (-2, 16)
To check if each ordered pair is a solution, we substitute the given x and y values into the equation and see if it makes a true statement.
For f(-3, 1):
y = 3x + 10
1 = 3(-3) + 10
1 = -9 + 10
1 = 1
This is a true statement, so f(-3, 1) is a solution.
For g(2, 13):
y = 3x + 10
13 = 3(2) + 10
13 = 6 + 10
13 = 16 (false statement)
This ordered pair is not a solution.
For h(1, 11):
y = 3x + 10
11 = 3(1) + 10
11 = 3 + 10
11 = 11
This is a true statement, so h(1, 11) is a solution.
For j(-2, 16):
y = 3x + 10
16 = 3(-2) + 10
16 = -6 + 10
16 = 4 (false statement)
This ordered pair is not a solution.
Therefore, the solutions are f(-3, 1) and h(1, 11).