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amid [387]
3 years ago
5

Anne solved 6(2x) − 3 = 22x + 32 for x by first distributing 6 on the left side of the equation. She got the answer x = −5. Howe

ver, when she substituted −5 into the original equation for x, she saw that her answer was wrong. What did Anne do wrong, and what is the correct answer?
Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

Anne made a mistake when she multiplied all the left side equation with 6

Step-by-step explanation:

6(2x)-3 = 22x+32

Distribute 6 only to the term within the parenthesis

12x - 3 = 22x + 32

Collect like terms

12x-22x = 32+3

-10x = 32+3

-10x = 35

divide both sides of equation by -10

x = -3.5

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Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat
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In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

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Answer:

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