I have to tell whether or not the expressions are equivalent. I am stuck on this one.
7x and 6x+x
2007-05-02 12:57:41 · 11 answers · asked by hamateuradio 3 in Science & Mathematics ➔ Mathematics
Two expression involving x are said to be equivalent if they yield the same result, whatever the value of x. In this regard, x may be thought as an imaginary object which may take any value you want, but has no given value.
For instance, the expressions 2x and 1+x are not equivalent. Indeed, when x=0, for example, we have 2x=0 while 1+x=1 (it is important to note that two expressions are equivalents only if we get the same result for all the values of x, so getting different results just once is sufficient to prove that they are not equivalent).
But the expressions 7x and 6x+x ARE equivalent because you can replace x by any value and find the same result with both expressions.
If we picture x as an object, the result becomes intuitive:
Having 7 similar objects is equivalent to having 6 objects plus one.
2007-05-02 13:16:55 · answer #1 · answered by joeledition 1 · 1⤊ 1⤋
Yes. Because 6x + x = (6 + 1)x = 7x
2007-05-02 20:02:10 · answer #2 · answered by TychaBrahe 7 · 0⤊ 0⤋
Yes they are equivalent. Try plugging in a number for X, any number. 7(5) = 35 and 6(5) + 5 = 35. Also all 7x is, is X+X+X+X+X+X+X (X - 7times)
2007-05-02 20:02:06 · answer #3 · answered by Pretty in Pink 1 · 0⤊ 0⤋
Yes,they are the same.
7x does equal 6x+x
2007-05-03 08:50:16 · answer #4 · answered by Marjo 2 · 0⤊ 0⤋
Yes, they are.
6x+x=7x
2007-05-02 20:01:35 · answer #5 · answered by Scott H 3 · 0⤊ 0⤋
Yes, they are the same. 6x + x=7x.
2007-05-02 20:06:45 · answer #6 · answered by bikinybandit 6 · 0⤊ 0⤋
6x+x=7x
Therefore,the expressions are equivalent
2007-05-02 20:01:31 · answer #7 · answered by alpha 7 · 0⤊ 0⤋
yes it is. 6x+x=7
2007-05-02 20:08:53 · answer #8 · answered by arye 3 · 0⤊ 0⤋
you better be glad i opened this when it said "MATH questions" haha. ok , yes they are equvilent because 6x+x=7x.
I hope i could be a help!
2007-05-02 20:01:17 · answer #9 · answered by Ang 3 · 0⤊ 0⤋
6x.x = 7x which = 7x
2007-05-02 20:01:49 · answer #10 · answered by Mark C 1 · 1⤊ 0⤋