SOLUTION: What is the value of x in the following system of equations? 10x=3y+2 6y-4x=10

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Question 390682: What is the value of x in the following system of equations?
10x=3y+2
6y-4x=10
Answer by solver91311(24713) About Me  (Show Source):
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Substitution Method











Elimination Method

Standard form first:





Multiply the first equation by 2:



Add the result to the other equation:





Matrix Row Reduction Method

Use the coefficients of the equations in standard form to create the augmented matrix:





















Cramer's Rule

Calculate the Determinant of the coefficient matrix:



Replace column 1 with the constant values:



Replace column 2 with the constant values:



Now apply Cramer's Rule:





John

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