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3 years ago

{ x + y = -2 { x - y = -8

Mathematics

2 answers:

g100num [7]3 years ago

7 0

Answer:

(-5, 3)

Step-by-step explanation:

Elimination seems like the best method to use here.

x+y=-2

x-y=-8

---------

2x=-10

Divide everything by two

x=-5

Now plug it back into one of the original equations,

-5+y=-2

Add 5 to everything

y=3

iogann1982 [59]3 years ago

7 0

Answer:

The solution is (-5, 3).

Step-by-step explanation:

If you have been told to solve this system of linear equations, start out by adding them together. The y terms then drop out, and we obtain:

2x = -10, implying that x = -5.

Selecting the first equation as our starting point in finding y:

-5 + y = -2.

We need to isolate y. To do this, add 5 to both sides:

y = -2 + 5, or y = 3.

Then the solution is (-5, 3).

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People travel by bus or by train from hiraddug station on tuesday 420 people travelled by bus from the station the ratio of the

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The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

20 : 17 = 420 : x

Solving the ratio and proportion for the value of x

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Therefore, based on the information, 357 people used to travel.

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3 years ago

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jenyasd209 [6]

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2 years ago

Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24

CaHeK987 [17]

Answer:

Her daughter is 3 years old now.

Step-by-step explanation:

Given:

Five years from now, the sum of the ages of a women and her daughter will be 40 years.

The difference in their present age is 24 years.

Now, to find how old is her daughter now.

Let the age of daughter be $x\ years$ .

And the age of mother be $y\ years$ .

According to question:

$(x+5)+(y+5)=40$

⇒ $x+y+10=40$

Subtracting both sides by 10 we get:

⇒ $x+y=30$

⇒ $x=30-y$ ............( 1 )

Now, as given in question:

The difference in their present ages is 24 years.

$x-y=24$

Putting the equation ( 1 ) in the place of $x$ we get:

⇒ $(30-y)-y=24$

⇒ $30-2y=24$

Moving variable on one side and the numbers on the other:

⇒ $30+24=2y$

⇒ $54=2y$

Dividing both sides by 2 we get:

⇒ $27=y$

So, the age of the mother is 27 years.

Now, putting the value of $y$ in equation( 1 ) we get:

$x=30-27$

⇒ $x=3$

The age of daughter is 3 years.

Therefore, her daughter is 3 years old now.

4 0

3 years ago