All categories

2 years ago

Use substitution to solve the system of equations. x-2y=1 3x-6y=3

1 answer:

7 0

Change first equation
x - 2y = 1
add 2y to both side
x = 2y + 1
Plug into second equation
3(2y+1) - 6y = 3
Distributive property
6y + 3 - 6y = 3
y = 0, plug into first equation
x - 2(0) = 1, x = 1
Solution: x = 1, y = 0

You might be interested in

7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th

Fed [463]

Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle $45^o$ is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

To get x, we will use tan. So we will get,

$tan(45^o) = \frac{4}{x}$

We know the value of $tan(45^o) = 1$ . By substituting the value we will get,

$1 =\frac{4}{x}$

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

$(1)(x) = (\frac{4}{x}) (x)$

$x = 4$

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

$sin(45^o) =\frac{4}{y}$

we know the value of $sin(45^o) =\frac{\sqrt{2}}{2}$

By substituting the value we will get,

$\frac{\sqrt{2}}{2} = \frac{4}{y}$

By cross multiplying we will get,

$(\sqrt{2}) (y) = (4)(2)$

$\sqrt{2}y = 8$

We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

$y =\frac{8\sqrt{2}}{2}$

$y = 4\sqrt{2}$

So we have got the required values of x and y.

8 0

2 years ago

Read 2 more answers

Arah has a floor plan of a room that is 5 inches wide and 6 inches long. The scale of the floor plan is

Vitek1552 [10]

Answer:

The answer is C.

Hope this helps!

8 0

2 years ago

Jamie made 8 1/4 cups of fruit punch for a party. Her guests drank 2/3 of the punch. How many fruit punch did her guests drink?

garri49 [273]

The answer would be 7 7/12

7 0

2 years ago

Type the correct answer in the box. Use numerals instead of words for numbers.

Blababa [14]

Answer:

x=-16

Step-by-step explanation:

The given equation is:

x = 8a

which was written to find the value of x.

We have to find the value of x when the value of a is inserted as -2

So, putting the value

x = 8(-2)

x= -16

So the value of x when a = -2 is -16 ..

7 0

2 years ago

Solve for x<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2B8-5%3D-2" id="TexFormula1" title="\sqrt{x} +8-5=-2" alt="\sqrt{

AlekseyPX

<h3><u>Step-by-step explanation:</u></h3><h3>√x+8=-5+2</h3><h3>√x+8=-2+5</h3><h3>√x+8=3</h3><h3>x+8=9</h3><h3>x=9-8</h3><h3>x=1</h3><h3><u> <em>I </em><em>hope </em><em>it'll </em><em>help </em><em>you</em><em>.</em><em>.</em></u></h3>

4 0

1 year ago