Use the method of elimination to solve the system of linear equations. 3x - 7y =

Question

Use the method of elimination to solve the system of linear equations. 3x - 7y = 46 7x + 21y = -42 What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions of the form (Simplify your answer. Type an ordered pair. Type an expression using y as the variable. Use integers or fractions for any numbers in the expression.) C. There is no solution.

Explanation / Answer

3x - 7y = 46

7x + 21y = -42

multiplying equation -(1) by 3, we get

9x - 21y = 138

Adding both the equation,

16x = 138 - 42

or, x = 6

3 * 6 - 7y = 46

or, y = -28/7

or, y = -4

So, Option-A) the solution is (6 , -4)

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