To determine if a given pair of values is a solution to the equation 3x + 7y = 17, substitute the values of x and y into the equation and check if the equation is satisfied.
For the pair (8, -1):
First, substitute x = 8 and y = -1 into the equation:
3(8) + 7(-1) = 24 - 7 = 17.
Since the equation is satisfied, (8, -1) is a solution.
For the pair (-6, 5):
Substituting x = -6 and y = 5 into the equation:
3(-6) + 7(5) = -18 + 35 = 17.
The equation is satisfied, so (-6, 5) is a solution.
For the pair (5, 3):
Substituting x = 5 and y = 3 into the equation:
3(5) + 7(3) = 15 + 21 = 36.
The equation is not satisfied, so (5, 3) is not a solution.
For the pair (-8, -2):
Substituting x = -8 and y = -2 into the equation:
3(-8) + 7(-2) = -24 - 14 = -38.
The equation is not satisfied, so (-8, -2) is not a solution.
Therefore, (8, -1) and (-6, 5) are solutions to the equation 3x + 7y = 17, while (5, 3) and (-8, -2) are not solutions.
is it a solution? 3x + 7y = 17
yes or no
8,-1
-6,5
5,3
-8,-2
1 answer