All categories

3 years ago

X+3y=4 2x-3y=6 Solve the equation

Mathematics

1 answer:

mylen [45]3 years ago

6 0

Answer:

x = 10/3

y = 2/9

Step-by-step explanation:

x + 3y = 4

2x - 3y = 6

Adding both equations gives:

3x + 0y = 10

Solving for x and y:

x = 10/3

y = 2/9

You might be interested in

At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th

riadik2000 [5.3K]

Answer:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

Step-by-step explanation:

Incomplete question:

$\angle CBD = 53^\circ$

$\angle CAB = 35^\circ$

$AB = 75$

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

$\angle ABC + \angle CBD = 180$ --- angle on a straight line

$\angle ABC + 53= 180$

Collect like terms

$\angle ABC =- 53+ 180$

$\angle ABC =127^\circ$

$\angle ABC + \angle ACB + \angle CAB = 180$ --- angles in a triangle

$\angle ACB + 127 + 35 = 180$

Collect like terms

$\angle ACB =- 127 - 35 + 180$

$\angle ACB =18$

Apply sine rule

$\frac{\sin A}{a} = \frac{\sin B}{b}$

In this case:

$\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}$

This gives:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

4 0

3 years ago

Read 2 more answers

at a sale search were sold for $15 each. This price was 80% of the original price. What was the original price?

emmasim [6.3K]

Let's say the original price was "x", thus "x" is the 100%, and we know that 15 is 80% of that, thus

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
x&100\\
15&80
\end{array}\cfrac{x}{15}=\cfrac{100}{80}\implies x=\cfrac{1500}{80}$

5 0

3 years ago

Read 2 more answers

Please help and I’ll give branliest answer to the person who’s most descriptive

raketka [301]

A. 5×2×8×10

The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side.

Have a great day (:

4 0

3 years ago

Read 2 more answers

Which angle pairs are supplementary? Check all that apply.

Basile [38]

Answer:

The correct answers are B, C, and E.

B. < 4 and < 3

C. < 4 and < 5

E. < 3 and < 6

Step-by-step explanation:

The pairs in options B, C, and E add up to 180°, which is the definition of a supplementary angle.

Hope this helps!

8 0

3 years ago

Simplify the expression

GREYUIT [131]

√12
= √4 * √3
= 2√3
------------------

4 0

3 years ago

Read 2 more answers