Use elimination to solve each system of equations. Check your solution. { -2 x =-4 -

step 1 Here we have to solve the given system of equation by using elimination method and then we have

Use elimination to solve each system of equations. Check...

Key Concepts

System of Linear Equations

A system of linear equations consists of two or more linear equations with the same set of variables. Solving such systems means finding all variable values that satisfy each equation simultaneously, which graphically corresponds to the intersection point(s) of the lines represented by the equations.

Elimination Method

The elimination method is a technique for solving systems of equations by adding or subtracting the equations so that one of the variables cancels out. This simplifies the system to a single equation with one variable that can be solved directly, after which the found value is substituted back to determine the other variable.

Solution Verification

Checking the solution by substituting the obtained values back into the original equations ensures accuracy. This step confirms that the values satisfy all equations, which is crucial for validating the correctness of the solution.

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