State the number of solutions of the given system

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Reference no: EM132763892

MTH100 College Mathematics - Emirates College of Technology

Question 1: System of linear equations

I. Solve the following system of linear equations by graphing. (one mark each line)

y=1/2 x+3
-2x=1/3-y

II. State the number of solutions of the following system of linear equations: (one mark each)

System of linear equations Number of solutions
x+3y=5
-2y=-18-3x

-4x-8y=2
2x=8-4y

-y=8-2x
x- 1/2 y=4

Question 2: (logarithmic equations)

Solve the following2 equations:

a) log?p+log??(p-7)=log??(p-15)? ?

b) log_2?k-3=- ??log?_2 (???k+7)?

Question 3: (Exponential Equations)

Solve each of the following 2equations:
1. 7^(3x-7)=(1/7)^x

2. (√5)^m=?125?^(4-m)

Question 4: Problem Solving

I)Ahmed and Mona are competing on a quiz app. Ahmed has 40 points already and is wining 20 points per minute.Mona has 20 points already and is wining 25 points per minute.

Write an equation that can be used to find m, the number of minutes until Mona overtakes Ahmed.

II) The campus bookstore sells graphing calculators for $17 and scientific calculators for $12. On the first day of classes 100 calculators were sold for a total of $1,550. How many of each were sold? (Solve algebraically).

Attachment:- Mathematics.rar

Reference no: EM132763892

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