Question 182487
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*[tex \LARGE \text{          }\math 14 = {2 \over 3}(9y - 15)]


Step 1.  Multiply both sides of the equation by 3:


*[tex \LARGE \text{          }\math 3 \ast 14 = 3 \ast {2 \over 3}(9y - 15)]


*[tex \LARGE \text{          }\math 42 = 2(9y - 15)]


Step 2.  Apply the distributive property (*[tex \Large a(b + c) = ab + ac]):


*[tex \LARGE \text{          }\math 42 = 18y - 30]


Step 3.  Add 30 to both sides:


*[tex \LARGE \text{          }\math 42 + 30 = 18y - 30 + 30]


*[tex \LARGE \text{          }\math 72 = 18y]


Step 4.  Multiply both sides by *[tex \Large {1 \over 18}]


*[tex \LARGE \text{          }\math {1 \over 18}(72) = {1 \over 18}(18y)]


*[tex \LARGE \text{          }\math 4 = y]


Which you should turn around so it reads right, just for neatness sake:


*[tex \LARGE \text{          }\math y = 4]


Check:


*[tex \LARGE \text{          }\math 14 =^? {2 \over 3}(9(4) - 15)]


*[tex \LARGE \text{          }\math 14 =^? {2 \over 3}(36 - 15)]


*[tex \LARGE \text{          }\math 14 =^? {2 \over 3}(21)]


*[tex \LARGE \text{          }\math 14 =^? 2(7)]


*[tex \LARGE \text{          }\math 14 = 14]


True statement, so answer checks.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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