Questions: Solve the system of equations. y=8x y=3x+30

Solution Steps

To solve the system of equations, we can set the two equations equal to each other since they both equal $y$. This will allow us to solve for $x$. Once we have $x$, we can substitute it back into either equation to find $y$.

We have the system of equations: $$y = 8x$$ $$y = 3x + 30$$ To find the values of $x$ and $y$, we set the two equations equal to each other: $$8x = 3x + 30$$

Rearranging the equation gives: $$8x - 3x = 30$$ $$5x = 30$$ Dividing both sides by 5, we find: $$x = 6$$

Now, we substitute $x = 6$ back into one of the original equations to find $y$. Using the first equation: $$y = 8(6) = 48$$

Final Answer