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aleksklad [387]
2 years ago
15

Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1​

Mathematics
2 answers:
Sonbull [250]2 years ago
8 0

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

-5 + 2y = -1

2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

Leno4ka [110]2 years ago
7 0

Answer:

  (x, y) = (-3, 2)

Step-by-step explanation:

The two equations are recognizable as expressing the sum and difference of the two variables. Such a set of equations is easily solved by the "elimination" method.

__

<h3>eliminate y</h3>

The y-variables have opposite coefficients in the two equations, so that variable can be eliminated by adding the two equations:

  (x -y) +(x +y) = (-5) +(-1)

  2x = -6 . . . . . . . simplify

  x = -3 . . . . . . divide by 2

<h3>eliminate x</h3>

The x-variables have the same coefficient in the two equations, so that variable can be eliminated by subtracting one equation from the other. We choose to subtract the first equation so the result has a positive coefficient for y.

  (x +y) -(x -y) = (-1) -(-5)

  2y = 4 . . . . . . . simplify

  y = 2 . . . . . . divide by 2

The solution to the system of equations is (x, y) = (-3, 2).

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Genrish500 [490]

Answer:

12 cm

Step-by-step explanation:

The Pythagorean Theorem is as follows:

a^{2} +b^{2} =c^{2}

A and B represent the side lengths (legs) and C represents the hypotenuse.

The length of one leg equals 5cm. (This can be represented by either a or b)

The hypotenuse equals 13 cm.

Plug these into the equation from above:

a^{2} + (5^{2}) = (13^{2})

Solve for the other leg:

   a^{2} + 25 = 169                          Square what's in the parentheses from above

a^{2} = 144\\                                  Subtract 25 from 169

\sqrt{a^{2} } = \sqrt{144}                            Square root both sides

a = 12 cm                        

Thus, the length of the other leg is 12 cm.

Let's check our answer:

12^{2} +5^{2} =13^{2}                        Square everything

144 + 25 = 169                      Add

169 = 169

Because both sides are equal it means that 12 cm is the correct answer.

Hope this helps!!

3 0
2 years ago
What is the surface area of the square pyramid with a base of 4
astraxan [27]
Hello,

<span>SA = s^2 + 2 × s × l 

Base = 4 

SA= 4^2 + 2 x 4 x l
SA= 16 + 2 x 4 x l
SA= 16 + 8 x l

Simplified, the surface area of a square pyramid with a base of 4 and an </span>unknown length/height (l) is SA= 16 + 8 x l.


Faith xoxo
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