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2 years ago

Solve the simultaneous equation. 2x + 3y = 8 3x + 5y = 13

Mathematics

1 answer:

koban [17]2 years ago

6 0

Answer:

x = 1; y = 2

Step-by-step explanation:

For this problem, let's take the substitution approach.

2x + 3y = 8

3x + 5y = 13

With the substitution approach, we will simply solve one equation for a variable, and plug that into the other equation to find the values for the variables.

2x + 3y = 8

2x = 8 - 3y

x = 8/2 - 3y/2

3x + 5y = 13

3(8/2 - 3y/2) + 5y = 13

24/2 - 9y/2 + 5y = 13

12 + 1y/2 = 13

1y/2 = 1

y = 2

Now let's plug this value of y into one of the other equations to find the value of x.

2x + 3y = 8

2x + 3(2) = 8

2x + 6 = 8

2x = 2

x = 1

Hence, the solutions for these equations are y = 2 and x = 1.

Cheers.

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5. The new area is:

A2=84 feet²

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Answer:

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Step-by-step explanation:

From the question we are told that

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The sample mean for graduates is $\= x _1 = 148$

The sample standard deviation for graduates is $\sigma_1 = 16$

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The sample standard deviation for graduates is $\sigma_2 = 21$

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$H_0: \mu_1 - \mu_2 = 0$

The Alternative hypothesis represented as

$H_a: \mu_1 - \mu_2 < 0$

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The above answer is gotten using a p-value calculator at (0.05) level of significance

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