Question

Solve the following system using the Substitution method:

x - y = -4
x - 2y = -6
(3 points, 2 for work, 0.5 for each part of the solution (x,y))

Answer 1

(x, y) = (-2, 2)

Explanation:

We are given the following two equations which we are to solve using the substitution method:

`x - y = -4` --- (1)

`x - 2y = -6` --- (2)

From equation (1):

`x = y-4`

Substituting this value of x in (2) to get:

`x = [tex]x - 2y = -6\\\\(y-4)-2y=-6\\\\-y=-6+4\\\\-y=-2`[/tex]

y = 2

Substituting the value of y in (1) to get x:

`x - y = -4`

`x - 2 = -4`

`x = -4 + 2`

x = -2

Therefore, (x, y) = (-2, 2).