Why isn’t there a commutative property for subtraction as well as for addition?
1 answer:
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First step.
If we multiply by 3 the first equation and by 2 the second equation we get the first step:
therefore, the answer for the first box is: Multiplication property of equality.
Second step.
If we subtract both equations, we have
then, the answer for the second box is: Subtraction property of equality
Third step.
By dividing both sides of our last result by -18, we get
then, the answer for the third step is: Division property of equality.
Fourth step.
Once we have obtained the result for variable y (which is -3), we need to find the result for variable x. So, by substituting our result for y into the first equation, we have
Therefore, the answer for the fourth box is: Substitution property of equality.
Fifth step.
Then, by simplifying our last result, in which there is a product of -4 and -3, we get
Thefore, the answer for the fifth box is: Simplify.
Sixth step.
Now, by subtracting 12 to both sides, we have
then, the answer for the sixth box is: Subtraction property of equality.
Seventh step.
Finally, by dividing both sides by 2, we obtain
Then, the answer for the seventh box is: Division property of equality.