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3 years ago

Which is the solution of the following system of equations: 2x + y = 4 3x – y = - 14

Mathematics

1 answer:

murzikaleks [220]3 years ago

3 0

$2x + y = 4 \\ 3x - y = - 14$

Lets add 2 equations

$5x = - 10 \\ x = - 2$

Now we need to put x into any equation

$2 \times ( - 2) + y = 4 \\ - 4 + y = 4 \\ y = 8$

Answer: (-2; 8)

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What is the quotient in simplified form? State any restrictions on the variable. Show Work.

photoshop1234 [79]

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5 0

3 years ago

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Sam practices his guitar for 9 hours each week he practices each song for 3 1/2 hours. What is the greatest number of song he ca

liberstina [14]

Answer:

<em>The greatest number of song he can practice in a week is 2.</em>

Step-by-step explanation:

Suppose, the greatest number of song he can practice in a week is $x$

He practices each song for $3\frac{1}{2}$ hours. So, the total time required for practicing $x$ number of songs $= (3\frac{1}{2}*x)$ hours.

Given that, he practices his guitar for 9 hours each week.

So, the equation will be......

$3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2$

<em>(Rounded as the greatest whole number)</em>

Thus, the greatest number of song he can practice in a week is 2.

4 0

2 years ago

Read 2 more answers

Please help no links

Nina [5.8K]

Answer:

x=5 y=-6

Step-by-step explanation:

3x+y=9 ------eqn1

y=4-2x -------eqn2

using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

y=-6

8 0

2 years ago

Select the simplification that accurately explains the following statement.

lutik1710 [3]

Answer:

Option (b) is correct.

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2$