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3 years ago

5.Solve the system using substitution.

1 answer:

4 0

Equation 1) y - 2x = 3
Equation 2) 3x - 2y = 5

Switch around x and y in equation 1.

1) -2x + y = 3

2) 3x - 2y = 5

Multiply ALL of equation 1 by 2.

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

Simplify.

1) -4x + 2y = 6

2) 3x - 2y = 5

Add equations together.

-x = 11

Divide both sides by -1.

x = -11

Plug in -11 for x in the first equation.

-4x + 2y = 6

-4(-11) + 2y = 6

Simplify.

44 + 2y = 6

Subtract 44 from both sides.

2y = 6 - 44

Simplify.

2y = -38

Divide both sides by 2.

y = -38/2

y = -19

So, x = -11, y = -19

D : (-11, -19)

~Hope I helped!~

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ASAP in 4 math question!

Zepler [3.9K]

1. - 4 = $\frac{x}{9}$

=> x = - 36

___________

2. -18 = 6t

=> t = $\frac{-18}{6}$

=> t = -3

___________

3. x - 18 = -72

=> x = - 72 + 18

=> x = - 54

___________

4. -18 = x - 15

=> x = -18 + 15

=> x - 3

7 0

2 years ago

Investigate how demand elasticities are affected by increases in demand. Apply the midpoint formula to calculate the demand elas

inn [45]

It should be noted that a good that has a high demand elasticity for an economic variable implies that consumer demand for that good is more responsive to changes in the variable.

<h3>How to explain the demand?</h3>

It should be noted that an elastic demand is one werr the change in quantity demanded due to a change in price is large.

Also, an inelastic demand is one in which the change in quantity demanded due to a change in price is small. When the formula creates an absolute value greater than 1, the demand is elastic.

Here, a good that has a high demand elasticity for an economic variable implies that consumer demand for that good is more responsive to changes in the variable.

Learn more about demand on:

brainly.com/question/1245771

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6 0

1 year ago

Answer this: 15 cookies to 40 brownies as a ratio in simplest form.

Nutka1998 [239]

Solutions

⇒15 Cookie to 40 brownies can be written as 15:40

⇒15:40 is the ratio we have to simplify

The GCF of 15 and 40 is 5 so we divide them by 5

15 ÷ 5 = 3
40 ÷ 5 = 8

3:8 is in simplest form

8 0

3 years ago

Read 2 more answers

How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?

BabaBlast [244]

Answer:

9 terms

Step-by-step explanation:

Given:

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

$\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}$

Where n = 8 and r = 0,1....8

When r = 0

$\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1$

When r = 1

$\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 2

$\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8$

When r = 3

$\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 4

$\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70$

When r = 5

$\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$