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3 years ago

Solve for x: 5x - 3y = 22 10x - 4y = 46

Mathematics

1 answer:

Alik [6]3 years ago

8 0

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

x=5

The solutions to the system of equations are;

x=5, y=1

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Find the values of A and B PLEASE HELP GIVING BRAINLIEST

erastovalidia [21]

Factoring the roots, the values of A and B are given as follows:

A = 3z.

B = 2.

<h3>What are the values of A and B?</h3>

The expression is:

$\sqrt{\frac{45\alpha z^3}{40y}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}$

We have that:

$\frac{45}{40} = \frac{9}{8}$

Hence:

$\sqrt{\frac{45\alpha z^3}{40y}} = \sqrt{\frac{9\alpha z^3}{8}} = \sqrt{\frac{9\alpha z^2 \times z}{4 \times 2}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}$

Hence, comparing the last two equalities:

A = 3z.

B = 2.

More can be learned about the factoring of roots at brainly.com/question/24380382

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2 years ago

Do you know what terms go in the blanks?

Afina-wow [57]

Answer:

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3 years ago

Describe the solutions in words to the inequality 4 < c + 2

MAVERICK [17]

Answer:

All real numbers are greater than four

Step-by-step explanation:

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3 years ago

5. Whitney deposits $9,000 for 2 years. She compares two different banks. State

Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

$A=P(1+r)^t$

And, amount formula in continuously,

$A=Pe^{rt}$ ,

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

$A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969$

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

$A=9000e^{0.0201\times 2} = \$ 9369.171$

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

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3 years ago

The surface area of a rectangular prism is 396 ft2.

In-s [12.5K]

I think its B. Because 396 divided by 3 equals 132 (there's 3 feet in a yard)

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3 years ago

Solve for x: 5x - 3y = 22 10x - 4y = 46​

Solve for x: 5x - 3y = 22 10x - 4y = 46