Solve for y, show your stepsy = x(2y - 3)

Mathematics

1 answer:

Xelga [282]2 years ago

3 0

Answer:

y= $\frac{-3x}{-2x+1}$

Step-by-step explanation:

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Can someone solve this for me?

Helga [31]

well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so

$\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare$

5 0

1 year ago

5/x - 3/4 = Simplify

Verdich [7]

Answer:

$\frac{20-3x}{4x}$

Step-by-step explanation:

-This is an LCM problem.

-To simplify, we introduce a least common multiplier which is equivalent the product of the denominators:

$LCM=x\times 4\\\\=4x$

#We introduce the LCM and adjust the fractions based on it :

$=\frac{5}{x}+\frac{3}{4}\\\\\\=\frac{20}{4x}+\frac{3x}{4x}\\\\\\=\frac{20-3x}{4x}$

Hence, the simplified form of the fraction is: $\frac{20-3x}{4x}$

7 0

3 years ago

An amount of $21,000 is borrowed for 10 years at 3.25% interest, compounded annually. If the loan is paid in full at the end of

Yanka [14]

The formula for total loan cost is attached.
10 years = 120 payments
MONTHLY Interest = .0325 / 12 = 0.0027083333 

total = 0.0027083333 * 21,000 * 120 / (1-(1.0027083333)-120 
total = 6,825 / (1- 0.7228448406 )
total = 6,825 / 0.2771551594 
total = 24,625.20