Question

Which of the following solutions solves the system?

7x + y = 6
x + 2y = -1
A. (-1, 0)
B. (1, 0)
C. (1, -1)
D. None of these choices are correct.

Answer 1

To solve the given system of equations, we can use the method of substitution. The solution is (13/3, -71/3).

Step-by-step explanation:

To solve the given system of equations, we can use the method of substitution. 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 = 6 - 7x

Now we substitute this expression for y in the second equation:

x + 2(6 - 7x) = -1

Next, we simplify and solve for x:

3x = 13

x = 13/3

Finally, we substitute the value of x back into the first equation to find y:

y = 6 - 7(13/3)

y = -71/3

Hence, the solution to the system of equations is (13/3, -71/3).