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

Solution:

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

In order to find a solution the linear equations in two variables, we need to eliminate one variable in order to find the other.

Let y = 3x - 4 --- (a)

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

Multiply eq(a) with ‘-3’, then it becomes -3y = -9x +12

We can say that one equation is the scalar multiple of the other.

Hence, we have only y = 3x - 4

Therefore, we have infinitely many solutions.

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

Summary:

The solution of the system of equations y = 3x - 4 and -3y = -9x + 12 are infinitely many solutions.