Download + - = ______ 1 3 2 x y 3 32 = + yx 3 32 - = + yx 3 23 - = +

Algebra 1
Homework Special Systems
1.
Name__________________________________
Which equation would make this system have no solution?
2

 y   x 1

3
 ______

a.
2.
2x  3 y  3
b. 2 x  3 y  3
c. 3x  2 y  3
d. 3x  2 y  3
Which equation would make this system have an infinite number of solutions?
 y  4x  1

 ______
a. y  4 x
Example:
3.
b. y  4 x  3
c. 4 x  y  1
The graph and a table of values are given to represent two linear equations in a system of
equations. Which of the following is the solution to the system?
Graph of Equation #1
a.
d. 4 x  y  5
(-5, 0)
Table for Equation #2
b.
(0, -1)
c.
(1, -1)
x
y
3
-6
6
0
7
2
8
4
d.
(5, -2)
4.
Graph of Equation #1
a.
(-5, 2)
Table for Equation #2
b.
(-3, 3)
c.
x
y
-5
-7
-2
8
-1
13
0
18
(0, 4)
d.
Example: Solve for the specified coordinate.
5.
Which x-coordinate is in the solution to the system of equations?
9 y  10 x  4

12 x  5 y  30
6.
a.
x=6
b.
x=5
c.
x = -6
d.
x = -5
Which y-coordinate is in the solution to the system of equations?
3x  2 y  4

7 x  4 y  6
a.
y = -2
b.
y = -5
c.
y=2
d.
y=5
(3, 5)