Simplify 2(x-4)+7(x+2).
2 answers:
Answer:
3(3x+2)
Step-by-step explanation:
Isolate the different parts of the expression and simplify them individually.
2(x-4) and 7(x+2)
Distribute the 2 and 7 into each of the parentheses.
(2*x)-(2*4) and (7*x)+(7*2)
then simplify
2x-8 and 7x+14
Next, we add the like terms together, using the commutative property.
We then factor the expression
to get the simplified form.
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Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
and
and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to
So x = 2.2 and y = 22.