Question

Math

Posted 4 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 4 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 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.

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