객관식
Use the elimination method to solve the following system of linear equations.
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5. Systems of Linear Equations
Solving Systems of Linear Equations by Elimination
Multiple Choice
Use the elimination method to solve the following system of linear equations.
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검증된 단계별 안내1
Write down the system of equations: \(10x - 4y = 5\) and \(5x - 4y = 1\).
Subtract the second equation from the first to eliminate \(y\): \((10x - 4y) - (5x - 4y) = 5 - 1\).
Simplify the subtraction to get an equation with only \(x\): \(10x - 4y - 5x + 4y = 4\) which reduces to \(5x = 4\).
Solve for \(x\) by dividing both sides by 5: \(x = \frac{4}{5}\).
Substitute \(x = \frac{4}{5}\) back into one of the original equations (for example, \(5x - 4y = 1\)) and solve for \(y\).