Question

Math

Posted 6 months ago

```
$\begin{array}{l}
y=2 x+3 \\
y=4 x-3
\end{array}$
Is $(3,9)$ a solution of the system?
Choose 1 answer:
(A) Yes
(B) No
```

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Answer from Sia

Posted 6 months ago

Solution by Steps

step 1

Substitute $x=3$ into the first equation $y=2x+3$

step 2

Calculate the value: $y=2(3)+3=6+3=9$

step 3

Substitute $x=3$ into the second equation $y=4x-3$

step 4

Calculate the value: $y=4(3)-3=12-3=9$

step 5

Since both equations yield $y=9$ when $x=3$, the point $(3,9)$ satisfies both equations

Answer

(A) Yes

Key Concept

Checking a solution for a system of equations

Explanation

To determine if a point is a solution to a system of equations, substitute the x and y values into each equation. If the point satisfies all equations, it is a solution to the system.

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