To find the solution to the system of equations given:
- \( y = -x + 3 \)
- \( y = 12x \)
We can set the two equations equal to each other since they both equal \( y \):
\[ -x + 3 = 12x \]
Now, let's solve for \( x \):
-
Add \( x \) to both sides: \[ 3 = 13x \]
-
Divide both sides by 13: \[ x = \frac{3}{13} \]
Next, we can substitute \( x \) back into either equation to find \( y \). We'll use the second equation:
\[ y = 12\left(\frac{3}{13}\right) = \frac{36}{13} \]
So the solution to the system of equations is:
\[ \left(\frac{3}{13}, \frac{36}{13}\right) \]
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