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4 years ago

What is the system is equations 5x+4y=8 2x-3y=17

Mathematics

1 answer:

Tomtit [17]4 years ago

5 0

Answer:

(4, -3)

Step-by-step explanation:

The system of equations can be described a number of ways. One possible description is "a consistent pair of linear equations in two variables."

Perhaps you want to know the solution to this system of equations. I find it easiest to graph them. The attached graph shows the solution to be ...

(x, y) = (4, -3)

You can also use "elimination" to simplify the system to a single equation in a single variable. Adding 4 times the second equation to 3 times the first will do that.

3(5x +4y) +4(2x -3y) = 3(8) +4(17)

23x = 92 . . . . . simplify

x = 4 . . . . . . . . divide by 23

Substituting this value into the first equation, we have ...

5(4) +4y = 8

5 +y = 2 . . . . . . divide by 4

y = -3 . . . . . . . . subtract 5

The solution is (x, y) = (4, -3).

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Malcom’s Tee Shirt & Jacket Company is to produce a new line of rain coats. There are fixed costs of $570 to set up for prod

Dimas [21]

Answer:

$C(x)=30x+570$

a) $4110

Step-by-step explanation:

Let x represent number of rain coats and C(x) represent total cost to produce new line of rain coats.

We have been given that the fixed costs of $570 to set up for production, and variable costs of $30 per jacket.

The cost of x jackets would be $30x$ .

The total cost of x jackets would be variable cost of x jackets plus fixed costs that is $570.

Therefore, the total cost of producing x rain coats would be $C(x)=30x+570$ .

To find the total cost of producing 118 rain coats, we will substitute $x=118$ in the above equation as:

$C(118)=30(118)+570$

$C(118)=3540+570$

$C(118)=4110$

Therefore, the total cost of producing 118 rain coats is $4110 and option 'a' is the correct choice.

6 0

3 years ago

Find the distance between (2,3) and (5,8)

Orlov [11]

Use pythagorean theorem
a^2+b^2=c^2

first find the difference of between the 2 points to find the legnth of the legs

distance between 2 and 5=3
distance between 3 and 8=5 so

3^2+5^2=c^2
9+25=c^2
34=c^2
√34=c

the ligit formula is
$c= \sqrt{(x1-x2)^2+(y1-y2)^2}$

6 0

3 years ago

Is it possible to draw a triangle with these measurements 90, 60, 60

Hoochie [10]

Answer:

it is possible to draw a triangle with angles 90 degree, 60degree and again 60 degree

8 0

3 years ago

What is the measure of angle X.<br> Enter your answer in the box.

Volgvan

Answer:

x=61

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

37+82+x = 180

Combine like terms

119 +x = 180

Subtract 119 from each side

119-119 +x= 180-119

x = 61

3 0

3 years ago

Read 2 more answers

Which is a solution to the equation (10–5y) = 20?

levacccp [35]

Answer:

y = -2

Step-by-step explanation:

10 -5y = 20 { subtract 10 from both sides}

-5y = 20 - 10

-5y = 10 {Divide both sides by (-5) }

y = 10/-5

y = -2

4 0

3 years ago

Read 2 more answers