Question
Solve the system of equations. y=9x, y=4x+25
Ask by Gordon Sullivan.
Dec 03,2024 14:36
UpStudy AI Solution
Tutor-Verified Answer
Answer
The solution is \( (x, y) = (5, 45) \).
Solution
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Mind Expander
To solve the system of equations, we can set the two equations equal to each other since they both equal \(y\):
\[
9x = 4x + 25
\]
Now, let's isolate \(x\). We can subtract \(4x\) from both sides:
\[
9x - 4x = 25
\]
This simplifies to:
\[
5x = 25
\]
Next, divide both sides by \(5\):
\[
x = 5
\]
Now, substitute \(x = 5\) back into one of the original equations to find \(y\). We'll use \(y = 9x\):
\[
y = 9(5) = 45
\]
Thus, the solution to the system of equations is:
\[
(x, y) = (5, 45)
\]
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