Solve the following system of equations
x + 6y =4(1)
x = 9-6y (2)
What is the solution of the system
N There is no solution
Actually there are an infinite number of x,y combinations that are solutions. Those are two equations representing the same line.
To solve the system of equations, we'll use the method of substitution. Let's start by rearranging equation (2) to solve for x:
x = 9 - 6y
Now we can substitute this value of x into equation (1):
x + 6y = 4
(9 - 6y) + 6y = 4
Simplifying, we get:
9 - 6y + 6y = 4
9 = 4
Since 9 does not equal 4, this equation is not true. Therefore, the system of equations has no solution.