Multiplying Equation 1 by 3 and then subtracting the equation 2 from it will eliminate a variable in the system of equations
Step-by-step explanation:
The elimination method involves eliminating one variable from the equations to find the value of other variable.
Given equations are:
[tex]2x-6y = 6\ \ \ \ \ \ Eqn1\\6x-4y = 2\ \ \ \ \ \ Eqn2[/tex]
In order to eliminate a variable, we have to equate the coefficients of one variable and then add/subtract the equations so that the variable cancels out.
We will multiply the first equation by 3 to equate the co-coefficients of x.
So,
Multiplying equation 1 by 3
[tex]3(2x-6y=6)\\6x-18y=18\ \ \ \ \ \ Eqn3[/tex]
As the coefficients of x are same in eqn 2 and eqn 3 so they both need to subtracted to eliminate x.
Hence,
Multiplying Equation 1 by 3 and then subtracting the equation 2 from it will eliminate a variable in the system of equations
Keywords: Linear equations, variables
Learn more about linear equations at:
- brainly.com/question/10364988
- brainly.com/question/10435816
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