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3 years ago

X+2y=3 x-y=3 x=? y=?

Mathematics

1 answer:

alexgriva [62]3 years ago

7 0

Answer:

x = 3

y = 0

Step-by-step explanation:

x + 2y = 3 ---------eqn 1

x - y = 3 --------eqn 2

Using eqn 2 to find the value of y

x - y = 3

Making y the subject of the formula

x - 3 = y

y = x - 3

Substitute the value of y into eqn 1

x + 2y = 3

x + 2(x - 3) = 3

Open the bracket

x + 2x - 6 = 3

3x - 6 = 3

3x = 3 +6

3x = 9

Divide both sides by 3, to get value of x

3x/3 = 9/3

x = 3

To get the value of y, use eqn 2

x - y = 3

3 - y = 3

3 - 3 = y

y = 0

Hint, to know maybe the values are correct, insert the values into the equation

Let's use eqn 2

x - y = 3

x = 3

y = 0

Insert into the equation

x - y = 3

3 - 0 = 3

Our values are correct

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4 0

3 years ago

Read 2 more answers

The sides of a Triangle are in the ratio 11 19:24 and

Paul [167]

Answer: The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²

More exactly: 10182 cm²

Step-by-step explanation: $A=\frac{bh}{2}$

240 × 84.85 = 10182

To get the height of the triangle, it takes some trigonometry;

Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula $cos A =\frac{b^{2} +c^{2} -a^{2} }{2bc}$

We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.

We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.

side a = 19, side b = 24, side c = 11

24² + 11² - 19² is 576 + 121 - 361 = 336

2(24)(11) = 528

cos A = 336 / 528 that is 0.636364 $\cos^{-1}\left(.6363634\right)$ = 50.47°