All categories

2 years ago

Xy=10 4x+2y=30 I need help asap

Mathematics

1 answer:

emmasim [6.3K]2 years ago

4 0

Answer:

x = 25/3; y = -5/3

Step-by-step explanation:

You did well so far by multiplying both sides of the first equation by 2.

Now notice that you have -2y in the new first equation and 2y in the second equation. -2y and 2y add to 0.

Now add the equations to eliminate y.

2x - 2y = 20

(+) 4x + 2y = 30

-------------------------

6x = 50

6x/6 = 50/6

x = 50/6 = 25/3

2x - 2y = 20

2(25/3) - 2y = 20

50/3 - 2y = 60/3

-2y = 60/3 - 50/3

-2y = 10/3

-2y/2 = (10/3)/(-2)

y = -5/3

Solution: x = 25/3; y = -5/3

You might be interested in

2.) Tyler has a baseball bat that weighs 44 ounces. Find this weight in

ra1l [238]

Answer:

1.9 Kilograms.

Step-by-step explanation

To find the total, subtract 35 and 44, that equals 9. so take 35 from 44, Thats 1 kilo, plus the 9 extra. 1.9 Kilos

8 0

3 years ago

Read 2 more answers

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago

Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter exc

Tamiku [17]

for z the fraction value is 1/26 and for other letters then Z is 25/26

8 0

3 years ago

Politics Post has published a total of 15 articles this month. If 12 of the articles are about candidates for an upcoming electi

vitfil [10]

Answer:

80%

Step-by-step explanation:

12÷15= .8

.8=80%

..............

7 0

3 years ago

A rectangle length is 3 times its width. The area is 27 square inches

Nikolay [14]

The length would be 9 and the width would be 3

3 0

2 years ago