All categories

3 years ago

Solve the system by substitution. y = 4x + 22 y = -7x

Mathematics

2 answers:

Lesechka [4]3 years ago

7 0

Answer:

x=-2

y=14

Step-by-step explanation:

-7x=4x+22

-11x=22

x=-2

y=-7(-2)

y=14

denis-greek [22]3 years ago

5 0

Answer:

$y=14$ , $x=-2$

Step-by-step explanation:

If two items or expressions are equal to the same subject then they are equal to each other,

y = 4x + 22 and y = -7x

Using the statement at the top

$4x + 22 = -7x$

Subtract -7x from both sides to collect the x terms

$11x+22=0$

Minus 22 from both sides to isolate 11x

$11x=-22$

Divide both sides by 11 to isolate x

$x = -2$

<h3>Now that we have the value of x we can substitute it into any of the equations to find the value of y</h3>

Substitute x = -2 into y = -7x

$y = 14$

So the solution is $y=14$ and $x=-2$

Hope this helps :)

You might be interested in

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

PolarNik [594]

The number of the families that need to be surveyed will be 2663.

<h3>What is the margin of error?</h3>

Your results will deviate from the actual population value by how many percentage points, as indicated by the margin of error.

We have the following info:

ME = 50 margins of error desired

$\sigma$ = 1000 the standard deviation for this case

The margin of error is given by this formula:

(a) $ME=Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

And on this case, we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

(b) $n =(\dfrac{Z_{a\2}\sigma}{ME})^2$

The critical value for the 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha$ = 0.01. And for this case would be $Z_{\alpha / 2}$ = 2.58, replacing into formula (b) we got:

$n=(\dfrac{2.58(1000)}{50})^2= 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer.

To know more about the margin of error follow

https://brainly.ph/question/537052

#SPJ1

8 0

2 years ago

NEED HELP 50 POINTS TO WHOEVER CAN ANSWER

Solnce55 [7]

Answer:

32 Miles

Step-by-step explanation:

Okay so this will take a moment:

Let's set up the following variables:

d = total distance of the trip

v = some rate of velocity/travel

Note: t is not a variable here as it would denote time, but we know the time, so rate of travel as a variable is next best.

With those variables, we can set up 3 equations as follows:

d - 35v = 65

d - 63v = 44

d - 79v = x

The equations being read as:

[total distance] - [time and rate of travel] = [distance remaining]

Now if we restructure each of those equations, you will have:

d = 35v + 65

d = 63v + 44

d = 79v + x

Now you can treat this like a system of equations. First we will solve for the variable: v

Since the total distance remains the same, we can set up the following equation:

35v + 65 = 63v + 44

subtract 35v from both sides

65 = 28v + 44

subtract 44 from both sides

21 = 28v

Now if we turn it around:

28v = 21

The common factor of both of these numbers is 7, so divide both by 7:

4v = 3

Therefore:

v = $\frac{3}{4}$

That was a lot. NOW that you know the value of v, you can find the total distance that Eric needs to travel, so plug it into one of the equations:

d = 35( $\frac{3}{4}$ ) + 65

Solve, and you get:

d = 91.25 miles = $\frac{365}{4}$ miles

Now that you know what the variables: v and d , you can solve for x in the other equation: d = 79v + x

$\frac{365}{4}$ = 79 ( $\frac{3}{4}$ ) + x

Multiply.

$\frac{365}{4}$ = $\frac{237}{4}$ + x

Subtract.

$\frac{365}{4}$ - $\frac{237}{4}$ = x

Simplify.

x = $\frac{128}{4}$ = 32

Voila! 32 Miles to go! Good Luck!

6 0

3 years ago

35PTS if u can solve!!! What is the value for y?

irinina [24]

Answer:

y=14

x=25

Step-by-step explanation:

8 0

3 years ago

The triangle shown below are similar. Solve for x.

ch4aika [34]

Answer:

x=16

Step-by-step explanation:

27/45=(2x+7)/(4x+1)

cross multiply

27(4x+1)=45(2x+7)

108x+27=90x+315

108x-90x=315-27

18x=288

x=288/18

x=16

8 0

3 years ago

Read 2 more answers

2(7-3)+4(10÷2) use the oder of operations to simplify

MAVERICK [17]

Answer:

the answer is 28

Step-by-step explanation:

2×4+4+5

8+20

4 0

4 years ago