Mathematics > SOPHIA Milestone > Sophia College Algebra Unit 1 Milestone 1 | 20 Q&A (All)
Sophia College Algebra Unit 1 Milestone 1 | 20 Q&A
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Sophia College Algebra Unit 1 Milestone 1 | 20 Q&A CONCEPT Substitution in multi-step linear equations 3 Jacob opened a money-market account. In the first month, he made an initial deposit of $500... , and he plans to contribute an additional $75 every month. The account does not pay any interest. After how many months will he have a total of $1,475? • 12 months To find an equivalent equation written in terms of x we can use the second equation y = 3x – 2. This equation indicates that y is equivalent to 3x – 2 so we can substitute 3x – 2 in for y in the first equation 3y – 5 = 45. Now we have an equation in terms of x. To simplify it, first apply the Distributive Property and multiply 3 by the terms in the parentheses. 3 times 3x equals 9x, and 3 times -2 equals -6. Next, eliminate -5 from the left side of the equation by adding 5 to both sides. 45 plus 5 equals 50. This equation is equivalent to the original equation, but is written in terms of x. • 15 months • 13 months • 14 months correct [Show More]
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