Answer:
x =
Step-by-step explanation:
note that 64 = and 32 =
, thus
=
, that is
=
=
Since the bases on both sides are equal, then equate the exponents
12x - 6 = 5x + 5 ( subtract 5x from both sides )
7x - 6 = 5 ( add 6 to both sides )
7x = 11 ( divide both sides by 7 )
x =
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the smaller number
y ----> the larger number
we know that
A larger number is 2 more than 4 times a smaller number
<u><em>Identify the key words</em></u>
is (=)---> equal
more (+) ---> addition
times (*) ---> multiplication
That means
The larger number y is equal to multiply the smaller number x by 4 and then adds 2
so
----> equation A
The larger number is also 8 more than 2 times the smaller number
<u><em>Identify the key words</em></u>
is (=)---> equal
more (+) ---> addition
times (*) ---> multiplication
That means
The larger number y is equal to multiply the smaller number x by 2 and then adds 8
so
----> equation B
Solve the system of equations by substitution
equate equation A and equation B
Find the value of y
substitute the value of x in equation A or equation B
therefore
The smaller number is 3 and the larger number is 14