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Use substitution to solve the following system of linear equations.
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18. Systems of Equations and Matrices
Two Variable Systems of Linear Equations
Multiple Choice
Use the elimination method to solve the following system of linear equations.
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검증된 단계별 안내1
First, write down the system of equations: 2x + y = 1 and 3x - y = 4.
To use the elimination method, add the two equations together to eliminate y. This is possible because the coefficients of y are +1 and -1.
Add the equations: (2x + y) + (3x - y) = 1 + 4. This simplifies to 5x = 5.
Solve for x by dividing both sides of the equation by 5, resulting in x = 1.
Substitute x = 1 back into one of the original equations, for example, 2x + y = 1, to find y. This gives 2(1) + y = 1, which simplifies to y = -1.
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