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 determine which ordered pair is a solution to the equation $2x + 3y = 10$, we substitute the x and y values from each ordered pair into the equation. ‖ ‖ 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 satisfies the equation. ‖ ‖ 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 does not satisfy the equation. ‖ ‖ step 4 ⋮ Therefore, only the ordered pair $(2,2)$ is a solution to the equation $2x + 3y = 10$. ‖ ***A*** ∻Key Concept∻ ⚹Substitution⚹ ∻Explanation∻ ⚹To verify if an ordered pair is a solution to a linear equation, substitute the values into the equation and check if the equation is satisfied.⚹◊What are the steps to check if an ordered pair is a solution to the equation $2x + 3y = 10$⍭ Generate me a similar question◊

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