Question

Math

Posted 3 months ago

```
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
```

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Answer from Sia

Posted 3 months ago

Solution by Steps

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.

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