The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b?
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Set up 2 equations.
In one, use the fact that the difference a - b is 21
In the other, use the fact that the difference between 5a and 2b is 18 (how would you write that?).
the diference of a and be can be written as \(a-b\)
We know 2 things:
From those, you can solve for either a or b and then plug it back into the equation for b
Solve the first for either a or b (as is probably easier, but you can do either) then substitute it back into the 2nd equation. You'll solve for one variable, the sub back in to solve for the other.