2006-12-14 13:15:17 · 32 answers · asked by Brenda G 1 in Science & Mathematics ➔ Mathematics
Your first step is to translate the word problem into an algebraic equation.
Let x and y be the two numbers. Then we know that
x + y = 35, and
x - y = 7
What we have is a system of equations. To solve, we either use substitution or elimination. I'm going to use substitution
x + y = 35
x - y = 7
Express one variable in terms of the other using one of the equation.
x + y = 35 means y = 35 - x
Now, plug in this value for y in the second equation
x - [35 - x] = 7
**NOTE** brackets are extremely important, especially with subtraction.
That then becomes
x - 35 + x = 7
2x - 35 = 7
2x = 42
x = 21
Now that we have one number, we can get the other.
y = 35 - x = 35 - 21 = 14
Therefore, x = 21, y = 14
Do they add up to 35? Absolutely.
Is their difference 7? Absolutely.
2006-12-14 13:20:01 · answer #1 · answered by Puggy 7 · 0⤊ 0⤋
The two numbers are 14 and 21
2006-12-14 13:18:11 · answer #2 · answered by Anonymous · 1⤊ 0⤋
14 and 21
2006-12-15 21:08:14 · answer #3 · answered by geoff b 2 · 0⤊ 0⤋
14 and 21
2006-12-14 22:59:33 · answer #4 · answered by Anonymous · 0⤊ 0⤋
14 and 21
2006-12-14 13:38:38 · answer #5 · answered by Beep 1 · 0⤊ 0⤋
21 and 14
2006-12-14 13:20:37 · answer #6 · answered by Sarah S 3 · 0⤊ 0⤋
14 and 21
2006-12-14 13:19:12 · answer #7 · answered by gotriceazn101 2 · 1⤊ 0⤋
14 and 21
2006-12-14 13:18:26 · answer #8 · answered by benji 3 · 1⤊ 0⤋
14 and 21
2006-12-14 13:17:53 · answer #9 · answered by Anonymous · 2⤊ 0⤋
21 and 14
2006-12-14 13:17:52 · answer #10 · answered by David D 2 · 2⤊ 0⤋