Use the substitution property of equations to solve the following equation for $x$ if $y=3 x$.
\[
4 x+3 y=39
\]

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The solution to the equation is $x = \boxed{3}$.

Steps

Step 1 ：We are given that $y = 3x$. We can substitute this into the equation $4x + 3y = 39$ to solve for $x$.

Step 2 ：Substituting $y = 3x$ into the equation gives us $4x + 3(3x) = 39$.

Step 3 ：Simplifying the equation gives us $13x = 39$.

Step 4 ：Dividing both sides of the equation by 13 gives us $x = 3$.

Step 5 ：Final Answer: The solution to the equation is $x = \boxed{3}$.