Answer:
(c) [tex]NO\: SOLUTION[/tex]
(b) [tex]INFINITELY\: MANY\: SOLUTIONS[/tex]
(a) [tex]30 = x;\: ONE\: SOLUTION[/tex]
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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