All categories

2 years ago

Y=1/4x−2y=−2x+3 help solve problem.

Mathematics

1 answer:

8_murik_8 [283]2 years ago

7 0

Answer:

(x, y) = (2 2/9, -1 4/9)

Step-by-step explanation:

Equate the values of y and solve for x.

1/4x -2 = -2x +3

(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides

x = 20/9 = 2 2/9 . . . multiply by 4/9

y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation

y = -1 4/9

The solution is x = 2 2/9, y = -1 4/9.

You might be interested in

At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which

Dmitrij [34]

Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

$A+B=14$

They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:

$70A+55B=905$

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

$A=14-B$

Substitute this into the second equation: "

$70(14-B)+55B=905$

First, we can divide everything by 5 to simplify things:

$14(14-B)+11B=181$

Distribute the left:

$196-14B+11B=181$

Combine like terms:

$-3B+196=181$

Subtract 196 from both sides:

$-3B=-15$

Divide both sides by -3

$B=5$

So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

And we're done!

3 0

3 years ago

Use completing the square to solve the equation x2 - 10x = -8.

Alenkasestr [34]

A. X^2-10x. =-8
To complete the square you get half of -10 and then square that number half of -10 is -5 and -5 times -5 equals positive 25 that would you add to each side

x^2-10x+25=-8+25
17

6 0

3 years ago

Read 2 more answers

ILL MARK BRAINLIEST AND RATE

motikmotik

Answer:

i think this might be right?

75p - ( p times -10) + 35 = w

Step-by-step explanation:

7 0

2 years ago

What values of k will make the line containing points (k,3) and (-2,1) parallel to the line through (5, K) and (1,0)

rjkz [21]

Answer:

k = -4 or 2

Step-by-step explanation:

For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

$\frac{1-3}{-2-k}=\frac{-2}{-2-k}$