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4729644
My systems of equations' mindmap
Descrição
My mindmap of systems of equations
Sem etiquetas
maths
systems of equations
mindmap
a
Mapa Mental por
Dani Calvo
, atualizado more than 1 year ago
Mais
Menos
Criado por
Dani Calvo
mais de 8 anos atrás
48
0
0
Resumo de Recurso
My systems of equations' mindmap
Substitution method
1) First of all, you have to isolate an unknown like this:
y=24-4x
2) Then, you substitute the isolated unknown in the other equation:
2x-3(24-4x)=-2
3) Just solve the equation:
2x+12x=-2+72
14x=70
[x=5]
[y=24-20=4]
(5,4)
Example: 2x-3y=-2
4x+y=24
Addition/Substraction method
1) In this case, you've to start multiplying one equation in order to equal an unknown in both systems:
(2x-y=9)4
8x-4y=36
Anotações:
4y
3x+4y=-14
Anotações:
4y
2) Then, you have to remove the equal unknown in one equation like this:
3x+4y=-14
+
8x-4y=36
-----------------
11x=22
[x=2]
11x=22
3) You have just done it
[x=2]
4-9=y
-5=y
(2, -5)
Example: 2x–y=9
3x+4y=–14
Equalization Method
1) The first step is to isolate an unknown in both equations:
x=(-7-3y)/2
x=(-4+2y)/3
2) Next, you substitute one "x" by the other equation:
(-7-3y)/2=(-4+2y)/3
3) Solve it now!
3(-7-3y)=2(-4+2y)
-21+8=-y
[13=y]
[x=-8+26=18]
Example: 2x+3y=−7
3x−2y=−4
Graphical method
Example: 2x–3y=–2
4x+y =24
1) This is the most different method; you would find the solution trying with different combinations:
x
-2
-1
0
1
2
y=24
y=20
y=16
y=24-4x
y=32
y=28
2) You have to do it with both equations:
x
-2
-1
0
1
2
y=2
y=0
y=0.6^
y=1.3^
y=0.6^
y=(2+2x)/3
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