Which ordered pair is a solution of the equation?
$$
2 x+3 y=10
$$

Choose 1 answer:
(A) Only $(2,2)$
(B) Only $(1,3)$
(c) Both $(2,2)$ and $(1,3)$
D) Neither

Question

Which ordered pair is a solution of the equation?
$$
2 x+3 y=10
$$

Choose 1 answer:
(A) Only $(2,2)$
(B) Only $(1,3)$
(c) Both $(2,2)$ and $(1,3)$
D) Neither

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find which ordered pair is a solution to the equation $2x + 3y = 10$, we can substitute the x and y values from each ordered pair into the equation and check if the equation holds true. ‖ ‖ step 2 ⋮ For the ordered pair $(2, 2)$, substituting $x = 2$ and $y = 2$ into the equation gives $2(2) + 3(2) = 4 + 6 = 10$, which is true. Therefore, $(2, 2)$ is a solution. ‖ ‖ step 3 ⋮ For the ordered pair $(1, 3)$, substituting $x = 1$ and $y = 3$ into the equation gives $2(1) + 3(3) = 2 + 9 = 11$, which is not equal to 10. Therefore, $(1, 3)$ 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.⚹◊What are the coordinates for the ordered pair that is a solution to the equation $2x + 3y = 10$?⍭ Generate me a similar question◊

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