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andreyandreev [35.5K]
3 years ago
9

Find the solution of this system of equations - 2x + 10y = -22 -2x - 4y = 6

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

x = 1, y = -2

Step-by-step explanation:

- 2x + 10y = -22 _______(1)

-2x - 4y = 6 _______(2)

From (1),

10y + 22 = 2x

x = (10y + 22) / 2

x = 5y + 11 .______(3)

Substitute (3) into (2),

-2 ( 5y + 11) -4y = 6

-10y - 22 - 4y = 6

-14y = 6 + 22

-14y = 28

y = 28/ -14

y =-2

Substitute y = -2 into (3).

x = 5y + 11

x = 5(-2) + 11

x = -10 + 11

x = 1

Therefore, the solution is x = 1, y = -2.

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\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}

<h3>Further explanation</h3>

We will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.

The relationships between inch and cm are as follows:

\boxed{ \ 1 \ inch = 2.54 \ cm\ }

Inches and cm represent units of length.

Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.

\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }

As a unit conversion factor of volume, the numerator and the denominator in cubic.

\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }

\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }

Thus, we get the unit conversion factor

\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}

Let's use this unit conversion factor to calculate its engine displacement in new units.

\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}

Note for cm³ units that have been crossed out.

The conversion result is \ \boxed{ \ 63.623 \ inch^3\ }

<h3>Learn more</h3>
  1. Convert cubic-kilometers to cubic-meters brainly.com/question/1446243
  2. How to write in scientific notation brainly.com/question/7263463
  3. Calculating mass based on density and volume brainly.com/question/4053884

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