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Question
Math
Posted 7 months ago
y=2x+3y=4x3
\begin{array}{l}
y=2 x+3 \\
y=4 x-3
\end{array}


Is (3,9)(3,9) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No
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Answer from Sia
Posted 7 months ago
Solution by Steps
step 1
Substitute x=3x=3 into the first equation y=2x+3y=2x+3
step 2
Calculate the value: y=2(3)+3=6+3=9y=2(3)+3=6+3=9
step 3
Substitute x=3x=3 into the second equation y=4x3y=4x-3
step 4
Calculate the value: y=4(3)3=123=9y=4(3)-3=12-3=9
step 5
Since both equations yield y=9y=9 when x=3x=3, the point (3,9)(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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