Explain solving linear equations and inequalities by elimination.

Fallbasiss4

Fallbasiss4

Answered question

2022-01-23

Explain solving linear equations and inequalities by elimination.

Answer & Explanation

stamptsk

stamptsk

Beginner2022-01-24Added 23 answers

In elimination method, either add or subtract the equations to get the equation in one variable. If the coefficients of one of the variables are the same, and the sign of the coefficients are opposite, we can add the equation to eliminate the variable.
Similarly, if the coefficients of one of the variables are the same, and the sign of the coefficients are the same, we can subtract the equation to get the equation in one variable.
In case, if we do not have the equation to directly, you can add or subtract the equations to eliminate the variable. Begin by multiplying one or both the equations by a constant value on both sides of an equation to obtain the equivalent linear system of equations and then eliminate the variable by simply adding or subtracting equations.
For example,
2x+5y=8
2x+4y=10
Thus, add the equations to eliminate x and get equation for y
9y=18
y=2
The value of y can be substituted in any of the equation to find x
For example,
2x+5(2)=8
2x+10=8
2x=810
2x=2
Thus, the solution of the system is (2,2)

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