Solve the following system.
x 2 - y = 3
x - y = -3
the solution set

One approach is to isolate y in the bottom formula, then fill it in to the top one:

x-y=-3 => y = 3+x

so substitute 3+x for y in the top formula (watch the signs) and simplify

x² - 3 - x = 3 => x² -x -6 = 0 => (x+2)(x-3)=0

so x=-2 or x=3.

for x=-2, y=1
for x=3, y=6

These are the solutions.

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.