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3 years ago

A system of equations and its solution are given below. System A 5x-y= -11 3x -2y= -8 solution: (-21)

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

In the given sum the solution is:

the value of x=-2

the value of y=1

Step-by-step explanation:

Given:

A system equation of A is 5x-y=-11

A system equation of B is 3x-2y=-8

Solution=-2,1

Multiply the equation A by 2

10x-2y=-22

Now substitue the Equation A and Bm

10x-2y=-22

3x-2y=-8

(-) (+) (+)

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

7x-0=-14

Therefore

7x=-14

x=-2

Substituting x=-2 in equation A to find the y Value

5x-y=-11

5(-2)-y=-11

-10-y=-11

y=-11+10

y=1

Therefore Hence the solution is proved

x=-2 y=1

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daser333 [38]

Answer:

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Step-by-step explanation:

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4 years ago

Find the coordinates of P so that P partitions segment A to B in the ratio 5:1 with A(2,

laila [671]

Answer:

<em>Point P has coordinates (7,9) (last choice)</em>

Step-by-step explanation:

We are given the endpoints A(2,4) B(8,10) and the point P lying on the segment AB with the condition that P partitions it in the ratio 5:1.

This means the distances AP, PB and AB follow the conditions:

$\frac{AP}{PB}=\frac{5}{1}$

AP+PB=AB

We can work with each coordinate separately. Suppose P has coordinates (x,y), thus:

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$6x=5x_b+x_a$

Dividing by 6:

$\displaystyle x=\frac{5x_b+x_a}{6}$

Substituting:

$\displaystyle x=\frac{5*8+2}{6}=\frac{42}{6}=7$

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Now for the y-axis:

$\displaystyle y=\frac{5y_b+y_a}{6}$

Substituting:

$\displaystyle y=\frac{5*10+4}{6}=\frac{54}{6}=9$

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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