What is the solution of the system of equations? 6x - 2y = 4 and -9x + 3y = 12

Solution:

Given: System of equations is 6x - 2y = 4 and -9x + 3y = 12

In order to find one variable we need to eliminate the other variable

Let 6x - 2y = 4 --- (a)

-9x + 3y = 12 --- (b)

Multiply eq(a) with 3, we get 3(6x - 2y) = 3(4)

Multiply eq(b) with 2, we get 2(-9x + 3y) = 2(12)

Eq(a) becomes 18x - 6y = 12

Eq(b) becomes -18x + 6y =24

By solving eq(b) and eq(a), we get no solution for the given set of equations.

What is the solution of the system of equations? 6x - 2y = 4 and -9x + 3y = 12

Summary:

The solution of the system of equations 6x - 2y = 4 and -9x + 3y = 12 doesn’t exist.