which ordered pair is a solution of the equation y= -7x +2?
(1,2)
(8,-54)
(5,-35)
(1,-7)
it would be B
(8,-54)
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Y = -7x +2
Y = -7*8 + 2 = -54.
(x,y) ... plug in the values to find the answer
Well, let's see which ordered pair is a solution for the equation y = -7x + 2.
Let's substitute the x and y values for each option:
For (1,2):
-7(1) + 2 = -7 + 2 = -5, which is not equal to 2.
For (8,-54):
-7(8) + 2 = -56 + 2 = -54, which is equal to -54. So, (8,-54) is a solution!
For (5,-35):
-7(5) + 2 = -35 + 2 = -33, which is not equal to -35.
For (1,-7):
-7(1) + 2 = -7 + 2 = -5, which is not equal to -7.
So, the ordered pair (8,-54) is the solution to the equation y = -7x + 2.
To determine which ordered pair is a solution of the equation y = -7x + 2, we substitute the x and y-values from each ordered pair into the equation and check if the equation is true.
Let's substitute the values for the first ordered pair (1,2) into the equation:
y = -7x + 2
2 = -7(1) + 2
2 = -7 + 2
2 = -5
Since 2 does not equal -5, the first ordered pair (1,2) is not a solution.
Now let's substitute the values for the second ordered pair (8,-54) into the equation:
y = -7x + 2
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
Since -54 equals -54, the second ordered pair (8,-54) is a solution of the equation.
Next, let's substitute the values for the third ordered pair (5,-35) into the equation:
y = -7x + 2
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
Since -35 does not equal -33, the third ordered pair (5,-35) is not a solution.
Lastly, let's substitute the values for the fourth ordered pair (1,-7) into the equation:
y = -7x + 2
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
Since -7 does not equal -5, the fourth ordered pair (1,-7) is not a solution.
Therefore, the only ordered pair that is a solution of the equation y = -7x + 2 is the second ordered pair (8,-54).