1. Solve by the substitution method.2x-3y=-107x+73=y What is the solution of the system?(Type an ordered pair. Type N if there is no solution.)2. Solve by the substitution method.3m+n=9m-9n=59What is the solution of the system?(Type an ordered pair. Type N if there is no solution.)3. Solve by the substitution method.8x+4y=-32-8x+y=42What is the solution of the system?(Type an ordered pair. Type N if there is no solution.)4. Solve by the substitution method.6x+9y=30-6x+y=50What is the solution of the system?(Type an ordered pair. Type N if there is no solution.)5. The perimeter of a rectangle is 48 m. The length is 6 m more than twice the width. Find the dimensions.What is the length?___________m(Simplify your answer.)What is the width?____________m(Simplify your answer.)6. Hockey teams receive 2 points when they win and 1 when they tie. One season a team won a championship with 57 points. They won 12 more games than they tied. How many wins and how many ties did the team have?How many wins did the team have?_________How many ties did the team have?__________7. Solve by the elimination method.x+3y=26-x+7y=44What is the solution of the system?______________(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)8. Solve the system by the elimination method.5x+2y=-77x-3y=19What is the solution to the system?______________(Type an ordered pair. Type an integer or a fraction. Type N there is no solution. Type I if there are infinitely many solutions.)9. Solve by the elimination method.0.3x-0.2y=40.4+0.5=55/17What is the solution of the system?(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)10. Solve by the elimination method. 4x-9y=10.57y-2x=-6.5What is the solution of the system?(Type an ordered pair. Type an integer or a decimal. Type N if there is no solution. Type I if there are many solutions.)11. Solve by the elimination method.0.05x+0.25y=660.15x+0.05y=72What is the solution of the system?(Type an ordered pair. Type an integer or a decimal. Type N if there is no solution. Type I if there are infinitely many solutions.)12. The perimeter of a rectangle is 60 inches. The length exceeds the width by 54 inches. Find the length and the width.The length is__________inches.(Type an integer or a decimal.)The width is __________inches.(Type an integer or a decimal.)13. The Everton College store paid $1794 for an order of 45 calculators. The store paid $10 for each scientific calculator. The others all graphing calculators cost the store $58 each. How many of each type of calculator was ordered?The store ordered__________scientific calculators? and_________graphing calculators.14. Smookers Lumber can convert logs into either lumber or plywood. In a given day the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $40 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $15600.15. A disc jockey must play 12 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 8 min how many 30-seconds commercial were played that hour? How many 60-second commercials?How many 30-second commercials were played that hour?____________How many 60-second commercials were played that hour?____________16. Soybean meal is 18% protein; cornmeal is 9% protein. How many pounds of each should be mixed together in order to get 360-lb mixture that is 13% protein?How many pounds of the cornmeal should be in the mixture?___________poundsHow many pounds of the soybean meal should be in the mixture?___________pounds17. A student makes a $9.50 purchase at the bookstore with a $20 bill. The store has no bills and gives the change in quarters and fifty-cent pieces. There are 30 coins in all. How many of each kind are there?How many quarters are there in the change?___________How many fifty-cent pieces are there in the change?___________
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