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3 years ago

Use the elimination method to solve the system of equations 2x+3y=8 x-y=9

Mathematics

1 answer:

babunello [35]3 years ago

6 0

Answer:

Step-by-step explanation:

Answer: x = 7 and y = -2

Step-by-step explanation:

2x +3y = 8 ----------------(1)

x-y = 9 ----------------------(2)

multiply (2) by 2

2x-2y = 18--------------------(3)

subtract (2) from (3)

-5y = 10

Divide bothside by -5

y = -2

Similarly, multiply (2) by 3

3x-3y = 27-----------------------(4)

add (1) and (4) together

5x = 35

Divide bothside by 5

x= 7

Therefore, x =7 and y= -2

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3 years ago

Read 2 more answers

(-3)3 (26)

Lemur [1.5K]

Question:

Geoffrey is evaluating the expression (-3)^3(2^6)/(-3)^5(2^2) as shown below.

(-3)^3(2^6)/(-3)^5(2^2) = (2)^a/(-3)^b = c/d

What are the values of a, b, c, and d?

Answer:

The values are a = 4, b = 2, c = 16, d = 9

Solution:

Given that,

Geoffrey is evaluating the expression

$\frac{(-3)^3 \times 2^6}{(-3)^5 \times 2^2}$

He is evaluating as shown below:

$\frac{(-3)^3 \times 2^6}{(-3)^5 \times 2^2} = \frac{2^a}{-3^b} = \frac{c}{d}$

From given,

$\frac{(-3)^3 \times 2^6}{(-3)^5 \times 2^2}$

Use the law of exponent

$\frac{a^m}{a^n} = a^{m - n}$

Therefore,

$\frac{(-3)^3 \times 2^6}{(-3)^5 \times 2^2} = \frac{2^{6-2}}{(-3)^{5-3}}\\\\Simplify\\\\\frac{(-3)^3 \times 2^6}{(-3)^5 \times 2^2} = \frac{2^4}{-3^2}$

Thus,

a = 4

b = 2

Simplify further

$\frac{(-3)^3 \times 2^6}{(-3)^5 \times 2^2} = \frac{2^4}{-3^2} = \frac{16}{9}$

Thus,

c = 16

d = 9

Thus values are a = 4, b = 2, c = 16, d = 9

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4 years ago

A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the origin

Leno4ka [110]

Answer:

$171

Step-by-step explanation:

A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the original price of the pants?

Let x represent the original price of the pair of pants

From the question, we know that:

10% of x = $17.10

10/100 × x = $17.10

10x/100 = $17.10

Cross Multiply

10x = 100 × $17.10

10x = 1710

x = 1710/10

x = $171

Hence, the original price of the pants = $171

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3 years ago

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