Question

What is the solution to this system?

x - y = 6
y= 2x - 5
a. (-1,3)
b. (1,3)
c. (1,-7)
d. (-1,-7)

Answer 1

The solution to the system of equations is (-1, -7).

Step-by-step explanation:

To solve the system of equations: x - y = 6 and y = 2x - 5, we can use the method of substitution.

First, we substitute the value of y from the second equation into the first equation:

x - (2x - 5) = 6

Simplifying the equation, we get:

-x + 5 = 6

Subtracting 5 from both sides, we have:

-x = 1

Dividing by -1, we get:

x = -1

Now, we substitute the value of x into the second equation:

y = 2(-1) - 5

Simplifying the equation, we get:

y = -2 - 5

Adding -2 and -5, we have:

y = -7

Therefore, the solution to the system of equations is (-1, -7).