Montgomery College Mathematical Equations Exam Practice

Hi,

I need step by stepsolutions for all the questions in the attached file.

Thanks 🙂

MONTGOMERY COLLEGE
TEST #2
MATH120
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Q1) Solve each system of equations
3x + 5y = –9
x+ 4y = –10
Q2) Solve each system of equations
2x + 3 = y
x + 2y = –4
Q3) Determine if the system is consistent, independent, dependent or inconsistent:
2x – 5y = 6
–4x + 10y = –1
Q4) Writ the following system as an augmented matrix:
3x – 4y + 4z = 7
x – y – 2z = 2
2x – 3y + 6z = 5
Q5) Solve each system of equations
2x + 3y = 6
x=3
Q6) A restaurant serves two types of fish dinners- small for $5.99 each and large for $8.99. One
day, there were 134 total orders of fish, and the total receipts for these 134 orders was
$1024.66. How many small dinners and how many large dinners were ordered?
Q7) Solve each system of equations
x + 3y = 5
2x – y = 3
Q8) Solve each system of equations
x + 2y = 4
x + (1/2)y = 4
Q9) Writ the following system as an augmented matrix:
x + y – z = –2
2x – y + z = 5
–x + 2y + 2z = 1
Q10) The sum of two integers is 97. Their difference is 43. Find the two numbers.