Substitution
Solve the system of equations using substitution:
y=x+4
x+y=-12
(-8, -4)
Solve the system of equations by elimination:
3x+4y=8
x-3y=-6
(0, 2)
Solve the system of inequalities by graphing:
x+2y≤4
y+3≤2x
Which of these points is a solution to the system of inequalities?
(0, 2) (2, -1) (5, 0) (0, 0)
(2, -1)
How many solutions does the following system of equations have?
y-2x=4
y=7+2x
No solution
Solve the system of equations using substitution:
-8+y=-4x
-2x+10=-y
(3, -4)
Solve the system of equations by elimination:
2x+4y=16
2y=-x+8
Infinitely many solutions
Given the following piecewise function, find the y-value: f(1)
f(x)= -x-4 x<3
x2-7 3≤ x≤ 10
12x-5 x>10
-5
Solve the system of equations by graphing:
-x+y=3
y=1
(-2, 1)
Solve the system of equations using substitution:
2y=3x+5
6y-9x-15=0
Infinitely many solutions
Solve the system of equations by elimination:
x+y=5
x-y=4
(9/2, 1/2)
Given the following piecewise function, find the y-value: f(10)
f(x)= -x-4 x<3
x2-7 3≤ x≤ 10
12x-5 x>10
93
Is (2, -8) a solution to this system of equations?
-4y=-3x+38
y+4=-2x
Yes
Solve the system of equations using substitution:
y-3x=13
y=(1/3)x+5
(-3,4)
Solve the system of equations by elimination:
6x-14y=5
3x-7y=5
No solution
Solve the system of inequalities by graphing:
3x-y> -2
4y+8> -4x
Which of these points is a solution to the system of inequalities?
(0, 0) (-3, 2) (1, -5) (-1, -4)
(0, 0)
Write a system of equations and solve the word problem:
Dep and Spires ate 40 tacos yesterday. We found out that if Dep had eaten 3 times what he ate yesterday and Spires had eaten 2 times what he ate yesterday, together they would have eaten 96 tacos. How many tacos did they each eat yesterday?
Dep ate 16 tacos, Spires ate 24 tacos
Solve the system of equations using substitution:
0=-2y+10-6x
14-22y=18x
(2, -1)
Solve the system of equations by elimination:
-(5/7)-(11/7)x=-y
2y=7+5x
(-3, -4)