Question

Solve the following system using the substitution method. If there is only one solution, enter your answer as an ordered pair in the form (x, y). If there are infinitely many solutions, enter 'many many'. If there are no solutions, enter 'none none'. 4x - 7y = -28, y = 4/7x

Answer 1

To solve the system of equations using the substitution method, substitute the second equation into the first equation and simplify. If the resulting equation is a contradiction or does not have a solution, the system has no solution.

Step-by-step explanation:

The given system of equations is:

4x - 7y = -28

y = (4/7)x

To solve this system using the substitution method, we substitute the second equation into the first equation:

4x - 7((4/7)x) = -28

Simplifying the equation, we get:

4x - (4)x = -28

0 = -28

Since 0 does not equal -28, there is no solution to the system of equations. Therefore, the answer is 'none none'.