Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y...

13
Substitution Method

description

Solving systems of equations w/o graphing x+y= 6 x=y+2 X Y

Transcript of Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y...

Page 1: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

Substitution Method

Page 2: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

Solving systems of equations w/o graphing

x+y=6x=y+2

XY

Inside of the Y container, and inside of the X container are some little red donuts. How many little red donuts are in the Y container?

Page 3: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

Solving systems of equations w/o graphing

x+y= 6x=y+2

XY

Page 4: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

Solving systems of equations without graphing

x+y= 6x=y+ 2

XY

Page 5: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y= 6 x=y+2

XY

The first thing we want to do is line up the equal sign.

Page 6: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6 x=y+2

X Y

What does X =?

Page 7: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6 x=y+2

X

Y

What does X =?x=y+2

So…

y+2+y=6Qwizdom

Page 8: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6

X

Y

x=y+2

y+2+y=6Qwizdom

Page 9: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6 x=y+2

X

Y

x=y+2

So…

y + 2 + y = 6

+ + Y =

Page 10: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6 x=y+2

X

Y

x=y+2

y + 2 + y = 6

+ + Y =

Y Y+ = 4

Page 11: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6 x=y+2

Xx=y+2

y + 2 + y = 6

Y Y+ = 4How many Y’s do I have? 2y =4

Page 12: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6 x=y+2

X

Y

Y

+ = 4How many Y’s do I have? 2y = 4

Y =

Y

Page 13: Substitution Method. Solving systems of equations w/o graphing x+y=6 x=y+2 X Y Inside of the Y container, and inside of the X container are some little.

x+y=6 x=y+2

X

Y

2y = 4Y =

If 2y’s give me 4, then howMany would one y give me?