Substitution
Solve the following with substitution.
y=x+2
x=3
(3,5)
Solve the following with elimination.
y = x + 2
2y = -x + 4
(0,2)
Solve the following with graphing.
y = ln(x)
1 = 2x + y
(0.69,-0.37)
Solve the following with matrixes.
x - y + z = 5
3x + 2y - z = 13
2x + y + 3z = 36
x = 3 ; y = 6 ; z = 8
Solve the following with substitution.
y=2x+2
x+1=y - 3
(2,6)
Solve the following with elimination.
y = 3x + 2
2y = -x - 10
(-2,-4)
Solve the following with graphing.
y = 3cos(x)
1 = 2x - y
(1.13,1.27)
Solve the following with matrixes.
4x - 2y + 3z = 1
8x - 3y + 5z = 4
7x - 2y + 4z = 5
x = 1 ; y = 3 ; z =1
Solve the following with substitution.
y - 2 = x + 2
2y + 1 = x - 2
(-11,-7)
Solve the following with elimination.
y - 2 = x + 2
2y + 1 = x - 2
(-11,-7)
Solve the following with graphing.
y = x^2 - 3x - 5
1 = 2x - y
(-0.70,-2.40) and (5.70,10.40)
Solve the following with matrixes.
x - y + z = 0
2x - 3z = -1
-x - y + 2z = -1
x = 1 ; y = 2 ; z =1
Solve the following with substitution.
y = x^2 + 2
y = 3x + 2
(0,2) and (3,11)
Solve the following with elimination.
3y - 4.5 = 1/2x + 2
2y + 1 = x - 2
(4,7)
Solve the following with graphing.
x^2 + y^2 = 4
x + 2y = 2
(-1.2,1.6) and (2,0)
Solve the following with matrixes.
2x - y = 0
x + 3y - z = -3
3y + z = 8
x = 0.38 ; y = 0.77 ; z = 5.69
Solve the following with substitution.
y = x^2 + 6
y = x + 6
(0,6) and (4,10)
Solve the following with elimination.
2x - 3y = 5
-6x + 9y = -15
Infinite Solutions
Solve the following with graphing.
y = x^3 - 4x
4 = x - 2y
(-2.32.-3.16) , (0.47,-1.77) and (1.85,-1.08)
Solve the following with matrixes.
2y + x - z = 3
-3z + 7y + 3x = 12
-2x - 4y + 3z = -5
x = -2 ; y = 3 ; z = 1