Problem

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

Solution

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 \(x = \boxed{3}\).

From Solvely APP
Source: https://solvelyapp.com/problems/45879/

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