Question

Use the substitution method to solve the system of equations. {y=3x−715x−5y=14 What is the solution? The solution is (15, 5). The solution is (0, 7). There is no solution. There are an infinite number of solutions.

Answer 1

y = 3x - 7...so we sub in 3x - 7 for x in the other equation

15x - 5y = 14
15x - 5(3x - 7) = 14
15x - 15x + 35 = 14
15x - 15x = 14 - 35
0 = - 21...incorrect.......therefore, this has no solution

Answer 2

Using the substitution method to solve the system of equations there is no solution.

The two equations are known as simultaneous equations:

y=3x−7 equation 1

15x−5y=14 equation 2

In order to solve for the above equations, substitute for y in equation 2

15x - 5(3x - 7) = 14

15x - 15x + 35 = 14

15x - 15x = 14 - 35

= -21.

There is no solution

To learn more about simultaneous equations, please check: brainly.com/question/23589883