HA 4-2 NAME _________________________ DATE ____________ PERIOD _____ SOLVING LINEAR SYSTEMS BY SUBSTITUTION Review (Solve by using the calculator) 1. 2x + 3y = 3 & x – 4y = -8 Solution = ___________ 2. 5x + 4y = -93 & 3x – 2y = 19 . Solution = ___________ Solve the following systems by substitution 3. y = x & 2y – 8x = 6 Solution = ___________ 4. 3x + 5y = 10 & y=x+2 Solution = ___________ 5. 12x – y = -24 & y = 4x + 16 Solution = ___________ 6. In an Honors Algebra class, the total number of students is 27. The number of girls is three less than twice the number of boys in the class. Set up a system of equations to determine the number of boys, b, and girls, g in the classroom. Solution = ___________ 7. The length, l, of a rectangle is three times the width, w. The perimeter of the rectangle is 296 meters. Set up and solve the system of equations using substitution. Solution = ___________ 8. What is the value of x in the solution to this system of equations? 3x = 2y + 14 y = -6x + 18 Solution = ____ 9. The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of French Vanilla ice cream. The pie and ice cream together have 500 calories. How many calories are in each? Solution = ___________