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arsen [322]
3 years ago
11

X + y = -1 4x - 2y = -16

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

x=-3 \\and\\ y=2

Step-by-step explanation:

x + y = -1       Equation:1

4x - 2y = -16    Equation:2

Solving Equation:1

x+y=-1

Subtracting 'y' from both the sides:

x+y-y=-1-y\\\\x=-1-y

Putting 'x' in Equation :2

       4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16

Adding '4' both the sides

          -6y=-16+4\\\\-6y=-12\\\\y=-12/-6\\\\y=2

Putting the value of 'y' in equation:1

           x+y=-1

           x+(2)=-1\\\\x=-1-2\\\\x=-3\\

The solution is:

          x=-3 \\and\\ y=2

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What is this figure called and what is the base?
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rectangular pyramid and 126 yd^2

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Jaxon and Isaac live different directions from the city center. Jaxon lives 10 blocks east and 5 blocks north. Isaac lives 8 blo
givi [52]

Answer:

Step-by-step explanation:

As shown in the figure attached Jaxon is 10 blocks east and 5 blocks north.

So x-coordinates of Jaxon will be 10 units and y-coordinates will be 5 units.

and coordinates will be (10,5)

Similarly coordinates of Isaac will be defined by his distance towards west and distance towards south.

So x-coordinates will be 8 units and y-coordinates will be 15 units.

Therefore, coordinates of Isaac will be (-8,-15).

4 0
3 years ago
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Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s
Natasha2012 [34]
Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30
5 0
3 years ago
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S KM ∥ JN? Why or why not?
bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because \frac{16}{10}= \frac{24}{15}

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\

which is true as both sides simplify to \frac{8}{13}

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}

In other words, \frac{16}{10}= \frac{24}{15}


4 0
4 years ago
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