How many solutions does the equation 6x-10=2(3x+8) have?
1 answer:
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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.
Answer:
is the number of quarters and
is the number of dimes
Step-by-step explanation:
we know that
Let
x-----> the number of dimes
y------> the number of quarters
we know that
-----> equation A
----Isolate the variable y
-----> equation B
Substitute equation B in equation A
Find the value of y
therefore
is the number of quarters and
is the number of dimes