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Lyrx [107]
3 years ago
11

Find the value of x and y using matrix method. 2x – 5y = 7 -2x + 4y = - 6

Mathematics
1 answer:
juin [17]3 years ago
6 0

9514 1404 393

Answer:

  (x, y) = (1, -1)

Step-by-step explanation:

The augmented matrix of coefficients for these equations is ...

  \left[\begin{array}{cc|c}2&-5&7\\-2&4&-6\end{array}\right]

The row-reduction function of your calculator can find the solution to the system of equations. The result of using that function is ...

  \left[\begin{array}{cc|c}1&0&1\\0&1&-1\end{array}\right]

This tells you the solution is (x, y) = (1, -1).

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Allie wants to take dance lessons. It costs $50 to rent the studio and $20 per lesson. If Allie has $130 for dance lessons. Up t
ludmilkaskok [199]
She would have 6 or 7 lessons 130 divided by 20 = 6.5
7 0
3 years ago
Determine and state an equation of the line perpendicular to the lines 5x-4y=10 and passing through the point (5,12). in point-s
sergey [27]
Perpendicular lines have slopes that are negative reciprocals of one another.

slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope

5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5

if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.

Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)

the coordinates of (5,12) can are substituted for x, and y,

so the answer is

(y-12) = -4/5(x-5)

I hope this helped and is BRAINLIEST!

Good luck with your studies!

8 0
2 years ago
11. Reason Identify each solution as rational or
melamori03 [73]

Answer:

a. Rational; b. rational

Step-by-step explanation:

A rational number is the quotient of two integers.

a. ⁴/₇ + ⁻¹/₃

\begin{array}{rcl}\dfrac{4}{7} + \dfrac{-1}{3} & = & \dfrac{12}{21} + \dfrac{-7}{21} \\\\& = & \dfrac{5}{21}\\\end{array}

The solution is rational.

b. √4 ⅖

\begin{array}{rcl}\sqrt{4} \, \dfrac{2}{5} & = & 2 \, \dfrac{2}{5}\\\\& = & \dfrac{22}{5}\\\end{array}

The solution is rational.

7 0
3 years ago
A bill to landscape your yard is $720. The Materials cost $375 and the labor is $34.50 per hour. Write and solve an equation to
Igoryamba

Answer:

Hey what'sup?

You need to dig a little in, for what it's actually meaning

Here the total is 720 right?

Which came from the materials and the labors work in hourly basis

So it's like

Cost of the material + no of hours = bill

We don't know what the no of hours are, so let's assume it as 'x'

Hence the required equation is

375+35*x=720

35*x = 720-375

35*x = 345

Therefore x=345/35 =9.8

Therefore they worked for 9.8 hours or approximately 10 hours

Peace out

8 0
3 years ago
What is 8 divided by 33 show your work
8_murik_8 [283]

Answer:

<u><em>0.24 with a line over the 24. The line means that it is repeating.</em></u>

<em>Explanation,</em>

<em>There is not much to explain it's just simple divison.</em>


7 0
3 years ago
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