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MrRa [10]
3 years ago
6

Solve the system of equations below. 4x+y=16 2x+3y=-2 A. (4,-5) B. (5,-4) C. (5,4) D. (-5,4)

Mathematics
2 answers:
san4es73 [151]3 years ago
7 0

Answer:

Option B is correct.

(5, -4)

Step-by-step explanation:

Given the system of equations:

4x+y = 16               ......[1]

2x+3y = -2             .....[2]

Multiply equation [2] by 2 both sides we have;

4x+6y = -4                      .....[3]

Subtract equation [3] from [1] we have;

4x+y-4x-6y= 16+4  

Combine like terms;

-5y = 20

Divide both sides by -5 we have;

y  = -4

Substitute this value y in [1] we have;

4x+(-4) = 16

⇒4x - 4 = 16

Add 4 to both sides we have;

4x = 20

Divide both sides by 4 we have;

x = 5

therefore, the solutions of the given systems is, (5, -4).

zlopas [31]3 years ago
4 0
Your answer is (5,-4) 
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3 years ago
City R has a temperature of -2 degrees. City S has a temperature of -6 degrees. Write an inequality to compare the temperatures
elena-s [515]

Answer:

  -2 > -6  . . .   or  . . .  R > S

Step-by-step explanation:

If you plot the temperatures of the two cities on a number line, you see that the temperature for City R is plotted to the right of the temperature for City S. This means the temperature of City S is less than that of City R.

If your inequality relates cities:

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3 0
3 years ago
Please help! If possible please show your work. Thank you in advance!! :D
Rudiy27

Answer:

  • (-4)³ = -64
  • -64

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

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We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

6 0
2 years ago
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Step-by-step explanation:

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4 0
3 years ago
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