All categories

3 years ago

Solve by substitution -4x-y=-2,y=-4x+3

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

No solution

Step-by-step explanation:

Substitution is done by substituting one equation into another. To begin solve one equation for a variable.

Substitute y=-4x+3 into -4x-y=-2.

-4x -(-4x + 3) = -2

-4x + 4x - 3 = -2

-3=-2

This is a false statement and there is no variable present anymore. This means the equations have no solution.

You might be interested in

A 12 pack of cola costs $5.46. How much does one can of cola cost? In other words, find the unit rate of one can of cola.

Travka [436]

Answer:

.45

Step-by-step explanation:

5.46 is a 12 pack

5.46/12 = .455

5 0

4 years ago

Read 2 more answers

The ratio of Aziz's money to Osman's money was 2:1 at first. After Aziz spent $10 ratio became 4:3. How much money did each boy

Dvinal [7]

Answer:

Aziz's money was $30

Osman's money was $15

Step-by-step explanation:

Let

x-----> Aziz's money at first

y-----> Osman's money

we know that

$\frac{x}{y}=\frac{2}{1}$

$x=2y$ ------> equation A

$\frac{x-10}{y}=\frac{4}{3}$ -----> equation B

substitute equation A in equation B and solve for y

$\frac{2y-10}{y}=\frac{4}{3}\\ \\6y-30=4y\\ \\6y-4y=30\\ \\2y=30\\ \\ y=15$

Find the value of x

$x=2(15)=30$

therefore

At first

Aziz's money was $30

Osman's money was $15

8 0

3 years ago

7045 ÷ 15 is what? i can't do it

Kazeer [188]

Answer:

As a decimal, 469.666667. As a remainder, 269 r10. As a fraction,

469 with 666667 over 1000000

Step-by-step explanation:

Use a calculator and mental mat, I'm not great at explaining things.

Hope I could help though!

7 0

4 years ago

Read 2 more answers

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

attashe74 [19]

Answer:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

$X= 36$ represent the families owned at least one DVD player

$n= 85$ represent the total number of families

$\hat p=\frac{36}{85}= 0.424$ represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.05$ . And the critical value would be given by: