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3 years ago

What is the solution to the system of equations? 2x – y = 7 y = 2x + 3

2 answers:

7 0

2nd one, y=2x+3
so subsitute y with 2x+3 in other equation

2x-(2x+3)=7
2x-2x-3=7
0-3=7
-3=7
false
no solution
(also, the slopes of the lines are the same and therefor they are paralell and differnet y intercepts so never intersect)

no solution

Kruka [31]3 years ago

4 0

Answer: The given system of equations will have NO solution.

Step-by-step explanation: We are given to find the solution to the following system of linear equations :

$2x-y=7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=2x+3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

We will be solving the given system of equations by the method of SUBSTITUTION.

Substituting the value of y from equation (ii) in equation (i), we get

$2x-y=7\\\\\Rightarrow 2x-(2x+3)=7\\\\\Rightarrow 2x-2x-3=7\\\\\Rightarrow -3=7,$

which can NEVER be true.

Therefore, the given system of equations will have NO solution.

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Solve for t.......<br><img src="https://tex.z-dn.net/?f=4%20%28t%20%2B%20%5Ccfrac%7B1%7D%7B4%7D%20%5C%3A%20%20%29%20%3D%203" id=

Bingel [31]

Answer:

$t = \cfrac{1}{2}$

Step-by-step explanation:

Given equation:

$4(t+\cfrac{1}{4})=3$

Divide both sides by 4:

$t+\cfrac{1}{4}=\cfrac{3}{4}$

Subtract 1/4 from both sides:

$t = \cfrac{3}{4}- \cfrac{1}{4}$

$t = \cfrac{2}{4}$

Simplify:

$t = \cfrac{1}{2}$

7 0

2 years ago

Read 2 more answers

Determine which score corresponds to the higher relative position. Which is better, a score of 92 on a test with a mean of 71 an

ss7ja [257]

Answer:

The score of 92 on a test with a mean of 71 and a standard deviation of 15 is better.

Step-by-step explanation:

To find which score corresponds to the higher relative position, we find the Z-score of each score.

The z-score, which measures how many standard deviation a measure is above or below the mean, is given by the following formula:

$Z = \frac{X - \mu}{\sigma}$

In which X is the score, $\mu$ is the mean and $\sigma$ is the standard deviation.

A score of 92 on a test with a mean of 71 and a standard deviation of 15.

So $X = 92, \mu = 71, \sigma = 15$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{92 - 71}{15}$

$Z = 1.4$

A score of 688 on a test with a mean of 493 and a standard deviation of 150.

So $X = 688, \mu = 493, \sigma = 150$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{688 - 493}{150}$

$Z = 1.3$

Which is better?

Due to the higher z-score, the score of 92 on a test with a mean of 71 and a standard deviation of 15 is better.

6 0

4 years ago

THIS IS NOT A QUESTION! THE PPL THAT ANSWERED THIS QUESTION WAS WRONG!!

natka813 [3]

Ok, good job for posting the answer

6 0

2 years ago

Read 2 more answers

What is the circumference of a circle if its area is 64.<br><br> (giving 25 points :))

Wewaii [24]

Answer:

Answer is below.

Step-by-step explanation:

Using the formula for circumference using area, we can plug in the area and solve backwards for the circumference.

3 0

3 years ago

Read 2 more answers

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $35. The total cost to re

iren [92.7K]

Answer:

A chair costs $2.50 each and a table costs $6 each.

Step by Step Explanation:

First, let's break this down to two equations.

Equation 1: 2c + 5t = 35

Equation 2: 8c + 5t = 38

Let's first solve for "t" (tables) by modifying Equation 1 so that it has the same number of chairs as Equation 2.

To do that, we must times the equation by 4, so:

4(2c + 5t = 35) -> 8c + 20t = 140.

So now the two equations we have are:

1: 8c + 20t = 140

2: 8c + 3t = 38

Now that they have the same number of chairs (8c), we can subtract Equation 2 from Equation 1, and that gets us the following:

17t = 102

t = 102 / 7 = 6.

Therefore, a table costs $6.00 to rent.

Knowing this, we can use either equation to now find "c". Let's use Equation 1.

2c + 5(6) = 35

2c + 30 = 35

2c = 5

c = 5 / 2 = 2.5

So now we know each chair costs $2.50 to rent. Let's use Equation 2 to confirm both the costs of the table and the chair.

8(2.5) + 3(6) = 38

20 + 18 = 38

38 = 38.

Therefore, each chair costs $2.50 and each table costs $6.

3 0

3 years ago