(08.03)consider the following pair of equations: y = −2x + 8 y = x − 1 explain how you will solve the pair of equations by substitution. show all the steps and write the solution in (x, y) form.

Y = -2x + 8 (1)
y = x - 1 (2)

From here, in order to eliminate one variable, we can subtract (1) from (2)

(2) - (1):
x - 1 - (-2x + 8) = y - y = 0
x - 1 + 2x - 8 = 0
3x - 9 = 0
3x = 9
x = 3

Substituting x back into y:
y = 3 - 1 = 2

Thus, x = 3, y = 2
Or: (3, 2)

No solution : there is no number of boxes that she bought