smelcher3900
10.01.2021 •
Mathematics
HELP PLZ
Solve each proportion for the variable
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Ответ:
x = -1
Step-by-step explanation:
4/12 can be simplified to 1/3
1 x+2
--- =
3 2x+5
Using cross products
1 ( 2x+5) = 3 (x+2)
Distribute
2x+5 = 3x+6
Subtract 2x from each side
2x+5-2x = 3x+6-2x
5 = x+6
Subtract 6 from each side
5-6 = x+6-6
-1 =x
Ответ:
Step-by-step explanation:
Key skills: Proportions, One variable equations, Multiplication, Distribution Property
1) The best approach to this problem is with cross multiplication.
Cross multiplication is where we multiply the numerator of one fraction with the denominator of the other fraction, and the denominator of one fraction with the numerator of the other fraction.
2) Here we would do: 4(2x+5) and 12(x+2)
3) Since this is a proportion --> 4(2x+5) = 12(x+2)
4) Now, we use distribution property to expand both.
4(2x+5) --> 8x+ 20 12(x+2) --> 12x+24
5) With simplifying we can solve for x:
8x+20=12x+24 We then move the 12x to the left side, and the 20 to the right side: 8x-12x=24-20Now we combine like terms: -4x=4Then we divide by -4 on both sides to solve for x. x=-1If you plug in x=-1 back into the equation: 4/12= 1/3
4/12 does equal 1/3 so x= -1 is the right answer.
Hope you have a nice day and understood this problem explanation!! :D
Ответ:
what is the question?
Step-by-step explanation: