All categories

3 years ago

How do you solve the equation above using substitution? Please show work :)

Mathematics

1 answer:

Mars2501 [29]3 years ago

8 0

Answer:

the solution is (21/2, 19/2)

Step-by-step explanation:

The first equation, x = y + 1, has already been solved for x. We can eliminate x in the second equatin by substituting y + 1 for x:

y = -(1/3)(y + 1) + 6

Let's eliminate fractions by multiplying all three terms by 3:

3y = y + 1 + 18

Combining like terms results in:

2y = 19, so that y = 19/2.

Substituting this 19/2 for y in the first equation, we get:

19/2 + 2/2 = x, or

x = 21/2

Thus the solution is (21/2, 19/2)

You might be interested in

Assuming the probability of a single sample testing positive is 0.15, find the probability of a positive result for two samples

Grace [21]

Answer:

$P(Positive\ Mixture) = 0.2775$

The probability is not low

Step-by-step explanation:

Given

$P(Single\ Positive) = 0.15$

$n = 2$

Required

$P(Positive\ Mixture)$

First, we calculate the probability of single negative using the complement rule

$P(Single\ Negative) = 1 - P(Single\ Positive)$

$P(Single\ Negative) = 1 - 0.15$

$P(Single\ Negative) = 0.85$

$P(Positive\ Mixture)$ is calculated using:

$P(Positive\ Mixture) = 1 - P(All\ Negative)$ ---- i.e. complement rule

So, we have:

$P(Positive\ Mixture) = 1 - 0.85^2$

$P(Positive\ Mixture) = 1 - 0.7225$

$P(Positive\ Mixture) = 0.2775$

Probabilities less than 0.05 are considered low.

So, we can consider that the probability is not low because 0.2775 > 0.05

6 0

3 years ago

Which of these expression is equivalent to -2(3-y)

Artemon [7]

$( - 6 + 2y)$

answer the question

3 0

3 years ago

Mrs.Rodriquez is measuring fabric for costumes. She needs 58 feet of fabric. She has 10 1/3 yards of fabric. How many more yards

sammy [17]

Answer:

9 yards

Step-by-step explanation:

Given data:

Needed fabric = 58feet

Available fabric = 10 1/3 yards

To convert yard to feet, the yards are multiplied by 3

10 1/3 yards = 31/3 * 3 = 31 feet.

More fabric needed = 58 - 31

More fabric needed = 27 feet

More fabric needed in yards = 27/3

More fabric needed in yards = 9

4 0

3 years ago

Read 2 more answers

3q+3.97=7.57 please help im stuck on ixl

disa [49]

Answer:

1.2

Step-by-step explanation:

3q+3.97=7.57

3q=7.57-3.97

3q=3.6

q=3.6/3

q=1.2

6 0

3 years ago

Write an inequality for the following statement. x is less than or equal to 2 W Write it

Dima020 [189]

Answer: x $\leq$ 2w

Step-by-step explanation:

4 0

3 years ago