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 = ___________