What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice 35- x
/4 =x/3
2 answers:
You can multiply both sides of the equation by 12 to remove the fractions.
12(35 - x/4) = 12(x/3)
420 - 12x/4 = 12x/3
420 - 3x = 4x
Add 3x to both sides:
420 = 7x
Divide 7 to both sides:
x = 60
No choices given. Here's how you solve this.
35 - x/4 = x/3
subtract x/3 from both sides
35 - x/4 - x/3= 0
need a common denominator
4 & 3 go into 12
35 - (4/12x) - (3/12x)= 0
35 - 7/12x= 0
subtract 35 from both sides
-7/12x= -35
multiply by -12/7 to eliminate fraction
(-12/7)(-7/12x) = (-35)(-12/7)
x= (-35 * -12)/7
x= 420/7
x= 60
Check:
35 - x/4 = x/3
35 - 60/4= 60/3
35 - 15= 20
20= 20
Hope this helps! :)
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