Answer:
Step-by-step explanation:
Show that the following data are inconsistent: ‘Of a group of 50 students, 23 take mathematics, 14 take chemistry and 17 take ph
ysics. 5 take mathematics and physics, 3 take mathematics and chemistry and 7 take chemistry and physics. Twelve students take none of mathematics, chemistry and physics’. [Hint: see the last example of the section.]
1 answer:
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Answer:
(-1, -1) and (2, 2)
Step-by-step explanation:
Substitute for y in the first equation and solve the quadratic.
x = x^2 -2
x^2 -x -2 = 0 . . . . subtract x
(x -2)(x +1) = 0 . . . .factor
Solutions are the values of x that make these factors be zero:
x = 2, x = -1
Since y=x, the solutions are ...
(x, y) = (-1, -1) and (2, 2)
