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nirvana33 [79]
3 years ago
9

Use algebra tiles to model and solve x+5=3x-1

Mathematics
2 answers:
natulia [17]3 years ago
6 0
The question asks that you use algebra tiles to model and solve the equation x+5=3x-1. I set up the scenario digitally (see attached image).

Whatever blocks you have on both sides you can cancel. So we cancel one x-block, and to take away the -1-block, we balance the equation by putting a +1-block on the other side. We are left with 2 x-blocks equal to 6 +1-blocks. This is equivalent to 1 x-bock equal to 3 +1 blocks, so x=3.

Algebraically, you can write 
x+5=3x-1  \\ 5=2x-1 \\ 6=2x \\ x=3.
I personally find the latter approach much easier, but I think the tiles are a nice way to conceptualize what you're doing.

professor190 [17]3 years ago
5 0
X + 5 = 3x - 1
x - 3x = -1 -5
-2x = -6
2x = 6
x= 6÷ 2
x = 3
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