What is the solution to the system of equations below?
2x + 3y = 6
x - 3y = 9

Step-by-step explanation:

2x + 3y =  6             3x = 15                    5 - 3y = 9

x   - 3y  = 9               x = 15/3 = 5            y = 9 - 5/-3 = -4/3

3x        = 15

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!