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MrRissso [65]
3 years ago
10

Evaluate the algebraic expression for the given value(s) of the variable(s).

Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

-18

Step-by-step explanation:

2x²-7xy+3y²

2(3²)-7(3)(4)+3(4²)

2(9)-84+3(16)

18-84+48

18+48-84

-18

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Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

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Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

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Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

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The numbers are 8, 21, -3.

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The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

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Pat has 8 flowerpots, and she wants to plant a different type of flower in each one. there are 10 types of flowers available at
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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