Question

Use the substitution method to solve the system

2 + y = -1
43 – 3y = 1
Your answer is
A) x = 3, y = -4
B) x = 4, y = -5
C) x = -1, y = 0
D) x = -2, y = 1

Answer 1

The system of equations has no solution.

Step-by-step explanation:

To solve the system of equations using the substitution method, we start by solving one equation for one variable and then substituting that expression into the other equation. Let's solve the first equation for y:

y = -1 - 2

y = -3

Now we substitute this value of y into the second equation:

43 - 3(-3) = 1

43 + 9 = 1

52 = 1

This is not a true statement, so the system of equations has no solution. Therefore, the answer is E) None of the above.