Question

Solve each given equation and show your work

Answer 1

Answer:

(c) $NO\: SOLUTION$

(b) $INFINITELY\: MANY\: SOLUTIONS$

(a) $30 = x;\: ONE\: SOLUTION$

Step-by-step explanation:

* If two expressions have the exact same rate of change [slope], automatically, there is no solution.

4x + 8 = 2x + 7 + 2x - 20

4x + 8 = −13 + 4x

-4x - 4x

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8 ≠ −13; NO SOLUTION

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25 - 4x = 15 - 3x + 10 - x

25 - 4x = −4x + 25; INFINITELY MANY SOLUTIONS

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6x + 4x - 6 = 24 + 9x

10x - 6 = 24 + 9x

-10x - 10x

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−6 = 24 - x

-24 - 24

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−30 = −x

30 = x; ONE SOLUTION

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