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The sum of two numbers is 29. The second number y is 5 more than twice the first number x. Write and solve a system of linear equations to find the two numbers. 1 Two pears and three apples cost $3. One pear and 2 apples cost $1.75. Write and solve a system of linear equations to find the cost x (in dollars) of a pear and the cost y (in dollars) of an apple. 2 You have dimes and quarters in your pocket. There are 12 coins that total $2.25. Write and solve a system of linear equations to find the number x of dimes and the number y of quarters. 3 Your purchase of CDs and DVDs has a total of 7 items. CDs cost $9 each and DVDs cost $15 each. The total purchase costs $87. Write and solve a system of linear equations to find the number x of CDs and the number y of DVDs that you purchased. 4 The length l of a rectangle is 4 times the width w. The perimeter is 30 feet. Write and solve a system of linear equations to find the dimensions of the rectangle. 5 The varsity football team consists of x seniors and y juniors. The number of seniors is 7 less than the number of juniors. There are 43 members on the team. Write and solve a system of linear equations to find the numbers of seniors and juniors on the team. 6