Question

Solve this system of linear equations. Separate the x- and y-values with a coma. 13x = -85 - y and 2x = -8 - y

Answer 1

77/15, -376/15

Explanation:

We have two equations:

13x = -85 - y (equation 1)

2x = -8 - y (equation 2)

We can rewrite equation 1 as:

y = -85 - 13x

Substituting this expression for y into equation 2 gives:

2x = -8 - (-85 - 13x)

Simplifying this expression:

2x = 77 - 13x

Adding 13x to both sides:

15x = 77

Dividing by 15:

x = 77/15

Substituting this value of x into equation 1 gives:

y = -85 - 13(77/15) = -376/15

Therefore, the solution to the system of linear equations is:

x = 77/15, y = -376/15

So, the values of x and y separated by a comma are:

77/15, -376/15