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bagirrra123 [75]
2 years ago
14

Solve the system of linear equations using elimination.

Mathematics
1 answer:
m_a_m_a [10]2 years ago
5 0

Answer:

Option A) x = 3 and y = 5

Step-by-step explanation:

−7x + 3y = −6_____ first equation

−3x + 3y = 6_____ second equation

Since both equations have "y" that share the same coefficients (that is 3),we can solve this equation.

---First step is to subtract the equation 2 from 1

−7x + 3y = −6

−3x + 3y = 6

From the above equation, we have

-4x = -12

Divide both sides by -4

X = 3

--- Substitute x = 3 in equation 1

−7x + 3y = −6

-7(3) + 3y = -6

-21 + 3y = -6

3y = 21 - 6

3y = 15

Y = 5

X = 3 and y = 5( option a)

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At a family reunion, a family friend brings 20 pounds of ice and 30 cups. Which expression shows the greatest common factor, usi
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The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)

Pounds of ice = 20

Number of cups = 30

The relation for the distributive property :

a × (b + c)

Expand ;

a × (b + c) = (a × b) + (a × c) = ab + ac

Finding the greatest common factor of 20 and 30 ;

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  • 30 = 3 × 10

(2 × 10) + (3 × 10)

According to the distributive property

(2 × 10) + (3 × 10) = 10(2 + 3)

Therefore, the expression for the greatest common factor is 10(2 + 3)

Learn more :brainly.com/question/15263211

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What is the sum of the complex numbers 3 − 4i and 5 + 3i ?
Mandarinka [93]

Answer:

8 - i

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

<u>Algebra II</u>

  • Standard Form: a + bi

Step-by-step explanation:

<u>Step 1: Define</u>

(3 - 4i) + (5 + 3i)

<u>Step 2: Simplify</u>

  1. Combine like terms (Z):                    8 - 4i + 3i
  2. Combine like terms (i):                      8 - i
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