Problem

What is the value of $y$ in the solutions of the system of equations: $3 x+$ $4 y=3$ and $2 x-4 y=12$ ? (Suggest using the Addition Method)

Solution

Step 1 :Given the system of equations: \(3x + 4y = 3\) and \(2x - 4y = 12\)

Step 2 :Add the two equations together to eliminate one of the variables. In this case, the \(y\) terms will cancel out, leaving us with an equation in terms of \(x\): \(5x = 15\)

Step 3 :Solve this equation for \(x\) to get \(x = 3\)

Step 4 :Substitute \(x = 3\) back into one of the original equations to find the value of \(y\). This gives us \(y = -\frac{3}{2}\)

Step 5 :Final Answer: The value of \(y\) in the solutions of the system of equations is \(\boxed{-\frac{3}{2}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/43592/

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