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3 years ago

Solve the simultaneous equation x + y = 2 and 4y² - x²= 11

Business

1 answer:

riadik2000 [5.3K]3 years ago

4 0

Answer:

The solution sets are ( $\frac{1}{3},\frac{5}{3}$ ) and (5,-3)

Explanation:

We are given two equations and we are supposed to solve these two equations and find their solutions.

x + y = 2

4 $y^{2}-x^{2}=11$

Substitute the first equation in the second and make it a quadratic equation in one variable.

4 $y^{2}-(2-y)^{2}= 11$

4 $y^{2}-(y^{2}-4y+4)=11$

$3y^{2}+4y-4=11$

$3y^{2}+4y-15=$

$3y^{2}+9y-5y-15=0$

(3y-5)(y+3) = 0

y = $\frac{5}{3}$ or y = -3

x = $\frac{1}{3}$ or x = 5

The solution sets are ( $\frac{1}{3},\frac{5}{3}$ ) and (5,-3)

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Answer:

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2 years ago

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Answer:

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3 years ago

On October 1, 2015, Zircon Jewelry Company accepted a 4-month, 10% note for $2,400 in settlement of an overdue account receivabl

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Answer:

Explanation:

The journal entry is shown below:

Cash A/c Dr $2,480

To Interest receivable $60

To Interest revenue $20

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= Principal × rate of interest × number of months ÷ (total number of months in a year)

= $2,400 × 10% × (3 months ÷ 12 months)

= $60

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3 years ago

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2 years ago

Graham Freightway provides freight service. The company's balance sheet includes Land, Buildings, and Motor-Carrier Equipment. G

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Answer:

Graham Freightway

Journal Entries:

Jan. 1:

Debit New Motor-carrier Equipment $236,000

Debit Accumulated Depreciation $92,000

Credit Old Motor-carrier Equipment $131,000

Credit Cash Account $173,000

Credit Gain on Equipment Disposal $24,000

To record the trade-in of old equipment for a new one.

July 1:

Debit Cash Account $90,000

Debit Note Receivable $590,000

Debit Accumulated Depreciation 286,750

Credit Building $580,000

Credit Gain on Building Disposal $386,750

To record the sale of building.

Oct. 31:

Debit Land $204,000

Debit Building $396,000

Credit Cash Account $600,000

To record the purchase of land and building for cash.

Dec. 31:

Depreciation Expense on New Motor-carrier Equipment $34,080

Credit Accumulated Depreciation on Equipment $34,080

To record the depreciation expense for the year.

Dec. 31:

Depreciation Expense on Building $2,225

Credit Accumulated Depreciation on Building $2,225

To record the depreciation expense for the 3 months.

Explanation:

a) Data and Calculations:

1. Gain on Equipment of $24,000 is based on the difference between the net book value of the equipment and the trade-in cost.

2. The same is also applicable on the Building.

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Building = 455,600/690,000 * $600,000 = $396,000

4. Depreciation on New Motor-carrier equipment:

Depreciable amount = $213,000 ($236,000 - 23,000)

Useful life = 1 million miles

Estimated residual value = $23,000

Depreciation rate = $213,000/ 1 million = $0.213

1st year depreciation = $0.213 * 160,000 = $34,080

5. Depreciation on Building:

Depreciable amount = $356,000 ($396,000 - 40,000)

Useful life = 40 years

Estimated residual value = $40,000

Depreciation rate = $8,900 ($356,000/40)

For three months, depreciation expense = $8,900/12 * 3 = $2,225

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2 years ago

Solve the simultaneous equation x + y = 2 and 4y² - x²= 11​

Solve the simultaneous equation x + y = 2 and 4y² - x²= 11