Question

Find the solution of this system of equations.

Separate the x- and y-values with a comma.
X + 12y = 17
x - y = -9
Enter the correct answer.

Answer 1

(-7, 2).

Explanation:

x + 12y = 17

x - y = -9

Subtracting:

0 + 13y = 26

y = 2.

Substitute for y in the second equation:

x - 2 = -9

x = -7.

Answer 2

{-7,2}

Explanation:

Given

x+12y=17 Eqn 1

x-y=-9 Eqn 2

We will use the substitution method to solve the system of equations. So, from eqn 2:

`x-y=-9\\x=y-9`

Putting the value of x in equation 1:

`(y-9)+12y=17\\y-9+12y=17\\y+12y-9=17\\13y=17+9\\13y=26\\(13y)/(13)=(26)/(13)\\ y=2`

Putting the value of y in eqn 2:

`x-2=-9\\x=-9+2\\x=-7\\So,\\Solution set = \{-7,2\}`