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3 years ago

How do you find the point of intersection of two straight lines?using algebraic equations

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

If theres two staight lines add then and there you go

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Can anyone plzzzz help me with this question of linear equation in two varaiable plzzzzzz... Its very important... Plz solve it

kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

$\dfrac 5 y - \dfrac 2 x = \dfrac{13}6$

Multiply by 6xy to clear the fractions.

$30x - 12y = 13 xy$

That's a second degree equation, also known as a conic. That one happens to be a hyperbola.

$30x = y(13 x +12)$

$y = \dfrac{30x}{13 x + 12}$

Let's clear the fractions from the second equation, multiplying out common denominator xy:

$\dfrac {36} x - \dfrac {24} y = 1$

$36y - 24 x = xy$

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

$36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)$

$36(30x) -24 x(13x + 12) = 30x^2$

$1080 x - 312 x^2- 288 x = 30x^2$

$x(792 - 342 x)= 0$

$x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}$

We have to rule out x=0 because it's in the denominator.

$y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}$

$y = \dfrac{33}{20}$

Answer: (44/19, 33/20)

8 0

3 years ago

You buy two ads in a newspaper. One ad takes up 58 of a page, and the other ad takes up 18 of a page. How much space did you buy

Bas_tet [7]

The answer is 76... I just added the two numbers together

3 0

3 years ago

Write an equation that represents the line

FinnZ [79.3K]

Answer:

5/6x + 3 = y

Step-by-step explanation:

The slope intercept form is:

mx + b = y

The slope is 5/6.

The y intercept is 3.

6 0

2 years ago

What is 25% of 80?<br><br> ( show how u did it cause I have to write it down

Wewaii [24]

Answer:

Step-by-step explanation:

Write 25% as 25/100 · Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 25/100 of 80 = 25/100 × 80

4 0

2 years ago

Help

weeeeeb [17]

Answer:

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .

Consider the sum of the measures of the exterior angles for an n -gon.

N=180n−180(n−2)

Distribute 180 .

N=180n−180n+360 =360.

Step-by-step explanation:

3 0

2 years ago