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3 years ago

Can someone help me solve this and explain step by step algebraically 1/8x+1/4y=2

Mathematics

1 answer:

mote1985 [20]3 years ago

6 0

Answer:

$x=16-2y$

Step-by-step explanation:

$\mathrm{Subtract\:}\frac{1}{4}y\mathrm{\:from\:both\:sides}$

$\frac{1}{8}x+\frac{1}{4}y-\frac{1}{4}y=2-\frac{1}{4}y$

$\mathrm{Simplify}$

$\frac{1}{8}x=2-\frac{1}{4}y$

$\mathrm{Multiply\:both\:sides\:by\:}8$

$8\cdot \frac{1}{8}x=8\cdot \:2-8\cdot \frac{1}{4}y$

$\mathrm{Simplify}$

$x=16-2y$

Final Answer: $x=16-2y$

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3 years ago

A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the neare

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3 years ago

Dave has $3000 more in a passbook account than in a money market.

Goryan [66]

The amount in the passbook account is $11,000 and the money in the money market account is $8000

Let:

a represent the unknown amount in the passbook account

b represent the unknown amount in the money market account

From the question, the following information can be gathered:

The money in the passbook account exceeds the amount in the money market account.

This information can be represented with this equation : a - b = 3000

The interest paid on the passbook account exceeds the interest paid on the money market account.

This information can be represented with this equation : 0.08a - 0.10b = 80

The two equations gotten above would be solved using simultaneous equation and the elimination method

a - b = 3000 equation 1

0.08a - 0.10b = 80 equation 2

Multiply equation 1 by 0.08

0.08 - 0.08b = 240 equation 3

Subtract equation 2 from 3

0.02b = 160

Divide both sides of the equation by 0.02

b = 8000

Substitute for b in equation 1

a - 8000 = 3000

Add 8000 to both sides

a = 11,000

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

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2 years ago