The ordered pairs (2 -17) and (5 -35) are solutions to which of the following equations?
y=-6x+5
y=6x-5
y=6x+5
y=-6x-5
Y = - 6x - 5
It's D!🤪
Is this right
yup, they're correct, it's D!
Its urgent please help
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To determine which of the given equations the ordered pairs (2, -17) and (5, -35) are solutions to, we can substitute the x and y values from each ordered pair into each equation and check if they make the equation true.
Let's go through this process for each equation:
1. For the equation y = -6x + 5:
Substituting the first ordered pair (2, -17):
-17 = -6(2) + 5
-17 = -12 + 5
-17 ≠ -7
Substituting the second ordered pair (5, -35):
-35 = -6(5) + 5
-35 = -30 + 5
-35 = -25
Since the equation y = -6x + 5 is not satisfied by either of the ordered pairs, it is not the correct equation.
2. For the equation y = 6x - 5:
Substituting the first ordered pair (2, -17):
-17 = 6(2) - 5
-17 = 12 - 5
-17 = 7
Substituting the second ordered pair (5, -35):
-35 = 6(5) - 5
-35 = 30 - 5
-35 = 25
Since the equation y = 6x - 5 is not satisfied by either of the ordered pairs, it is not the correct equation.
3. For the equation y = 6x + 5:
Substituting the first ordered pair (2, -17):
-17 = 6(2) + 5
-17 = 12 + 5
-17 = 17
Substituting the second ordered pair (5, -35):
-35 = 6(5) + 5
-35 = 30 + 5
-35 = 35
Since the equation y = 6x + 5 is not satisfied by either of the ordered pairs, it is not the correct equation.
4. For the equation y = -6x - 5:
Substituting the first ordered pair (2, -17):
-17 = -6(2) - 5
-17 = -12 - 5
-17 = -17
Substituting the second ordered pair (5, -35):
-35 = -6(5) - 5
-35 = -30 - 5
-35 = -35
Since the equation y = -6x - 5 is satisfied by both of the ordered pairs, it is the correct equation.
Therefore, the ordered pairs (2, -17) and (5, -35) are solutions to the equation y = -6x - 5.