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4 years ago

Solve the system of equations:

Mathematics

1 answer:

Ahat [919]4 years ago

8 0

Answer:

Step-by-step explanation:

z = 3

2y + z = 1

2y + 3 = 1 {substituting z =3}

2y = 1 -3

2y = -2

y = - 2/2

y = -1

2x +3y +2z = 13

2x + 3 * (-1) + 2*3 = 13 { {substituting z =3} and y = -1}

2x -3 + 6 =13

2x + 3 = 13

2x = 13 - 3

2x= 10

x = 10/2

x = 5

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3 years ago

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3 years ago

Add the fractions and simplify the answer 1/2 +2 /3

IrinaVladis [17]

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3 years ago

Read 2 more answers

5(x-1)+6(x+2)-7(x-3)=8(x+1)

nika2105 [10]

Are you simplifying the equation or solving for x?

Finding x:

You first expand the three terms in parenthesis, you do this by taking

5(x - 1) and multiplying 5 by x and -1 which gives 5x - 5, you repeat this for 6(x + 2), -7(x - 3) and 8(x + 1) which gives 6x + 12, -7x + 21 and 8x + 8

Collectively we have the equation 5x - 5 + 6x + 12 - 7x + 21 = 8x + 8

Next we group the like terms

5x + 6x - 7x

5 + 6 = 11 and 11 - 7 = 4, thus we have 4x and -5 + 12 + 21 = 28

Now the equation has been simplified to 4x + 28 = 8x + 8

Then we subtract each side by 28 which is 4x = 8x - 20

Then 8x is subtracted from each side, giving -4x = -20

Lastly both sides are divided by -4 to isolate x which gives x = 5

Fully simplified:

To have the equation fully simplified you just stop at 4x + 28 = 8x + 8 if it is an answer choice, if it is not factor the equation.

I will be using GFC (Greatest Common Factor) to factor.

We start factoring at turning 28 into 4 * 7

4x + 28 = 4x + 4 * 7

4 being the common factor gets factored out, leaving 4(x+7)

Repeat for 8x + 8, where 8x + 8 = 8 * 1, the common factor is 8 so you remove it giving the final simplification of:

4( x + 7 ) = 8( x + 1 )

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spayn [35]

I don't see the options
5.708×10^−8

What is the number in standard form?

5.708×10^−8 = 0.00000005708

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3 years ago

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