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Question
Math
Posted 3 months ago
Which ordered pair is a solution of the equation?
2x+3y=10
2 x+3 y=10


Choose 1 answer:
(A) Only (2,2)(2,2)
(B) Only (1,3)(1,3)
(c) Both (2,2)(2,2) and (1,3)(1,3)
D) Neither
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 2
For the ordered pair (2,2)(2, 2), substituting x=2x = 2 and y=2y = 2 into the equation gives 2(2)+3(2)=4+6=102(2) + 3(2) = 4 + 6 = 10, which is true. Therefore, (2,2)(2, 2) is a solution
step 3
For the ordered pair (1,3)(1, 3), substituting x=1x = 1 and y=3y = 3 into the equation gives 2(1)+3(3)=2+9=112(1) + 3(3) = 2 + 9 = 11, which is not equal to 10. Therefore, (1,3)(1, 3) is not a solution
A
Key Concept
Substitution
Explanation
To determine if an ordered pair is a solution to a linear equation, substitute the x and y values into the equation and check if the resulting expression is true.

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