Section 1
Solve the system by graphing:
y=2x+5
y=-4x-1
intersect at (-1,3)
Solve by substitution:
y=2x-4
7x-2y=5
(-1, -6)
Solve for x by elimination:
3x+y=1
x-y+-5
x=-1
Solve using any method:
-3x+y=1
-3x+y=-3
The expression -3x+y cannot be equal to 1 and -3 at the same time. So, the system has no solution.
Solve the system using any method:
y= 0.2x-3
10x+3y=5
(7/5, -3)
Write an equation in point-slope form of the line that passes through:
(3, -4); m=1
y+4=1(x-3)
Solve using any method:
2x+3y=-3
2x=y+5
(1.5, -2)
Solve by elimination:
x+3y=-2
x-3y=16
(7, -3)
Solve using any method:
x+2y =6
3x+6y=18
All the points on the line are solutions of the system. So, the system has infinitely many solutions.
Solve the system using graphing:
y=2x-3
y=x+2
(5,7)
Solve the equation:
5(2-y) + y = -6
y=4
Solve by substatution:
y=x-4
y=4x-10
(2, -2)
Solve by elimination:
-6x+5y=25
-2x-4y=14
(-5, -1)
Write an equation for the line that passes through the given points:
(0, -3), (3, 3)
y=2x-3
Solve the system using substitution:
x=2y+7
3x-2y=3
(-2, -9/2)
Solve the system by graphing:
y-x=17
y=4x+2
(5, 22)
Solve by substitution:
2x=y-10
2x+7=2y
(-6.5, -3)
Solve by elimination:
5x=4y+8
3y=3x-3
(4, 3)
Solve the system. Explain your choice of method.
y= -1/6x+5
x+6y=30
infinitely many solutions
Determine whether the line through the first pair of points intersects the line through the second pair of points.
Line 1: (-2,1), (2,7)
Line 2: (-4, -1), (0,5)
no, the lines are parallel
Solve:
2.2x+y=12.5
1.4x-4y=1
(5, 1.5)
Solve by substitution
-2x-5y=3
3x+8y=-6
(6, -3)
Solve the system, explain your choice of method:
2=x-3y
-2x+y=4
(-14/5, -8/5)
Solve the system. Explain your choice of method.
y=9x
x+1=1
(1/10, 1/9)
Use a graph to determine the number of solutions of the system.
y=2x+1
y=2x+5
no solution