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Chapter 5: Q. 187 (page 644)
Twice a number plus three times a second number is twenty two. Three times the first number plus four times the second is thirty-one. Find the numbers.
First number is 5 and second number is 4
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Solve the system of equations
(a) by graphing
(b) by substitution
(c) Which method do you prefer? Why?
In the following exercises, solve the following systems of equations by graphing.
In the following exercises, translate to a system of equations and solve.
Jackie has been offered positions by two cable companies. The first company pays a salary of \( 14,000 plus a commission of \)100 for each cable package sold. The second pays a salary of \(20,000 plus a commission of \)25 for each cable package sold. How many cable packages would need to be sold to make the total pay the same?
In the following exercises, translate to a system of equations and solve the system.
In her last two years in college, Marlene received \(42,000 in loans. The first year she received a loan that was \)6,000 less than three times the amount of the second year鈥檚 loan. What was the amount of her loan for each year?
In the following exercises, solve the systems of equations by substitution.
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