All categories

3 years ago

Y= x+14 , x+ 2y= 36, find x and y and show solution pls

Mathematics

2 answers:

Anni [7]3 years ago

5 0

Step-by-step explanation:

given

$y = x + 14 \\ y - x = 14 \\ - x + y = 14$

as equation 1

and

$x + 2y = 36$

as equation 2.

We will now use elimination method to solve simultaneous equations.

We will use equation 1 + equation 2 to eliminate x and solve for y.

$- x + x + y + 2y = 14 + 36 \\ 0 + 3y = 50 \\ 3y = 50 \\ y = 50 \div 3 \\ = \frac{50}{3} \: or \: 16 \frac{2}{3}$

Now substitute y into equation 1.

$y = x + 14 \\ x + 14 = y \\ x = y - 14 \\ x = 16\frac{2}{3} - 14 \\ = 2 \frac{2}{3}$

krek1111 [17]3 years ago

3 0

Answer:

Solve the equation for x.

The simplified system is the arbitrary solution of the original system of equations.

Y=x+14

y=18−x2

Reorder 18

and −x2.

y=−x2+18

Y=x+14

Solve the equation for Y.

Y=−2y+50

x=36−2y

Reorder 36

and −2y.

x=−2y+36

Y=−2y+50

Step-by-step explanation:

You might be interested in

Find the first 3 iterations of the function here: g(n) = 3x if you have<br> an initial value of 2.

Tom [10]

1st it: g(2)=3(2)=6 || 2nd it: g^2(2)=3(6)=18 || 3rd it: g^3(2)=3(18)=54

4 0

3 years ago

Solve the following equation -4y+8=4[2y-2]-

aksik [14]

The answer is y=4/3. Hope this helps.

4 0

3 years ago

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

$A_1 = \pi*radius^2/2$

$A_1 = \pi*(w/2)^2/2$

$A_1 = \pi/8*w^2$

And the area of the rectangle is:

$A_2 = w*x$

If the perimeter of the window is 41 feet, we have:

$Perimeter = length + 2*width + \pi*radius$

$41 = x + 2*w + \pi*w/2$

$x = 41 - w(2 + \pi/2)$

Now, the equation for the total area of the window is:

$A = A_1 + A_2 = \pi/8*w^2 + w*x$

$A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))$

$A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w$

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

$x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45$

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

$A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2$

3 0

3 years ago

5(2x-8)<br><br>please help. I will mark brainliest!

noname [10]

Answer:

just multiply 2x-8 by 5

which is

$10x - 40$

5 0

3 years ago

Read 2 more answers

To find the decimal of 9/25, Tyler reasoned: “9/25 is equivalent to 18/50 and to 36/100, so the decimal of 9/25 is 0.36.” Do you

musickatia [10]

Yes, you do agree with tyler because 9/25=.36, all fractions given are equivalent.

8 0

2 years ago