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GaryK [48]
10 months ago
8

Simplify: 3a²b + 5ab – 4ab + ab² + 8a²b

Mathematics
1 answer:
Lisa [10]10 months ago
8 0

In order to simplify this expression, we need to add the like terms.

Like terms are terms that have the same variables to the same power.

So we have:

\begin{gathered} 3a^2b+5ab-4ab+ab^2+8a^2b \\ =(3a^2b+8a^2b)+(5ab-4ab)+ab^2 \\ =11a^2b+ab+ab^2 \end{gathered}

Therefore the correct option is the fourth one.

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Solve the system using the elimination method.
spayn [35]

Answer:

  (x, y, z) = (-22/13, 29/13, 6/13)

Step-by-step explanation:

Adding the first and second equations, we get ...

  (3x +2y -3z) +(7x -2y +5z) = (-2) +(-14)

  10x +2z = -16 . . . . collect terms

  5x + z = -8 . . . . . . divide by 2 . . . [eq4]

Adding twice the second equation to the third, we get ...

  2(7x -2y +5z) +(2x +4y +z) = 2(-14) +(6)

  16x +11z = -22 . . . . . . [eq5]

Now, we have two equations with the variable y eliminated. We can subtract [eq5] from 11 times [eq4] to eliminate z:

  11(5x +z) -(16x +11z) = 11(-8) -(-22)

  39x = -66

  x = -66/39 = -22/13

From [eq4], we can find z as ...

  z = -8 -5x = -8 -5(-22/13) = 6/13

And from the second equation, we get ...

  y = (1/2)(7x +5z +14) = (1/2)(7(-22/13) +5(6/13) +14) = 29/13

The solution is (x, y, z) = (-22/13, 29/13, 6/13).

6 0
2 years ago
How do I do this, I really need some help
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You solve for x and get x<-2 or x>= -1/2 and then graph

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Alecsey [184]

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Step-by-step explanation:

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Can someone help me solve this.​
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Answer:

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4 0
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