Solve 5(x + 3) = 3x - 4Show clear algebraic working,
2 answers:
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Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:
Simplify further:
Divide by -12 on both sides to get:
To check the solution, plug x back into the original equation and check if we get the correct answer:
Thus, it checks out and our answer is correct.
m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece
<em><u>Solution:</u></em>
Given that Harita must memorize 90 measures of music for her cello solo at a concert
To find: equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece
Let "m" be the number of measures Harita still needs to memorize
Let "d" be the number of days of practice since she began learning the piece
Given that She plans on memorizing 18 new measures for every 3 days of practice
<em><u>Rate per day is given as:</u></em>
Therefore she memorises 6 per day
<em><u>Therefore, the equation that relates 'm' to 'd' is: </u></em>
m = total measures of music she must memorise - (number of measures she memorises per day x d)
m = 90 - 6(d)
m = 90 - 6d
Thus the required equation is found