w/7 + 2 = 1
<em><u>Subtract 2 from both sides.</u></em>
w/7 = -1
<em><u>Multiply both sides by 7.</u></em>
w = -7
The value of w is equal to -7
First make fractions.
2 5/7 = 19/7
3 4/5 = 19/5
19/7*x=19/5
Multiply 7 to other side (7*19/5=133/5)
Multiply 5 to other side (5*19=95)
95x=133
133 divided by 95 yields 1.4
The answer is 1.4
First join the log4 on the left:
log4( x*(x-3) = log4(-7x+21)
Then x = -7, works: -7*(-10)=70 = -7*(-7)+21
x=-3, 18 = 42, does not work
x=3 0=0 works,
However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.
Now x=3 gives log4(0) on the left and right, which does not exist.
So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
$22.50 is the cost of 15 tomatoes