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inn [45]
3 years ago
7

Solve these simultaneous equations 2x+3y=13 4x-y=-2

Mathematics
2 answers:
horrorfan [7]3 years ago
8 0

Answer:

x = \frac{1}{2}, y = 4

Step-by-step explanation:

2x + 3y = 13

4x - y = -2

Lets get the equation of the y value;

4x - y = -2

Subtract 4x to both sides;

-y = -4x - 2

Divide both sides by -1

y = 4x + 2

Substitute y in the second equation;

2x + 3y = 13

2x + 3(4x + 2) = 13

Distribute;

2x + 12x + 6 = 13

14x + 6 = 13

Subtract 6 from both sides;

14x = 7

Divide both sides by 14;

x = \frac{1}{2}

Lets calculate the value of x;

(4)\frac{1}{2} - y= -2\\\frac{4}{2} - y =-2\\ 2 - y=-2\\

Subtract 2 from both sides;

-y = -4

Divide both sides by -1

y = 4

Neko [114]3 years ago
6 0
X = 1/2 y = 4 by elimination

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Need the answers please help​
Aleonysh [2.5K]

Answer:

\frac{1}{2}x+\frac{6}{5}=\frac{3}{10}x+\frac{3}{20}

x=-5\frac{1}{4}

7x-3+10=2x-8+8x

Hope this helps

7 0
3 years ago
Can I have help solving for x?:))
zvonat [6]

Answer:

24.8

Step-by-step explanation:

We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .

→ 'x' is the hypotenuse

→ 12 is opposite

→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it

Tan = Opposite ÷ Adjacent

Sin = Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so

Sin = Opposite ÷ Hypotenuse

Hypotenuse = Opposite ÷ Sin

→ Let's substitute in the values

Hypotenuse = 12 ÷ Sin(29)

Hypotenuse = 24.7519841

So the value of x is 24.8 to 1 decimal place

6 0
3 years ago
Read 2 more answers
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Karolina [17]

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

5 0
3 years ago
Read 2 more answers
How many sides does a regular polygon have if each of its interior angles is 165 degree.
hoa [83]
24
Complete step-by-step answer:
Thus, the regular polygon with interior angle each measuring 165∘ is a 24-sided polygon.
6 0
2 years ago
The ratio of men to women in a room is 3:4. Eight women enter the room, no men enter the room and none of the original people in
vampirchik [111]
There are 64 people in the room.

Since the ratio for women increases 1 when 8 women enter the room, for every time there is 1 in the ratio there are 8 people. That means that originally you have to do 3x8 and 4x8. You get 24 and 32 which equals 56. Then when 8 more women enter the room, you get 64.
8 0
2 years ago
Read 2 more answers
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