Solving systems of Linear Equations by Graphing and Substitution
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
|---|---|---|---|---|---|
| Solve the equation by graphing. 2x+y=0 3x+y=1 | 2x+y=0
3x+y=1
X y
0 0
1 -2
-1 4
🗑
|
||||
| Solve the linear eguation by graphing. X+y=5 x+y=6 | x+y=5
x+y=6
x y
0 5
2 3
1 4
🗑
|
||||
| Solve by substitution method this equation. 2x-3y=6 x=2y | 2x-3y=6
x=2y
substitute 2y in front of 2
therefor the eqution is as follow
2(2y)-3y=6
Foil2 times 2y
4y-3y=6
subtract 4y-3y
then y=6
Now substitute in the second equation,
x=2(6)
Then x equals 12
The order pair is (12,6)
🗑
|
||||
| Solve X+y=8 Y=5x | x+y=8
y=-5x
x+(-5x)=8
x-5x=8
-4x=8
x=-2
🗑
|
||||
| Solve by Substitution 3x-y=1 2x-3y=10 | 3x-y=1
2x-3y=10
-1(-y=-3x-1)-1
y=3x-1
2x-3(3x-1)=10
2x -9x+3=10
-7x+3=10
-7x=7
x=-1
3(-1)-y=1
-3-y=1+3
+3
-1(-y=4)-1
y=4
The order pair is (-1,4)
🗑
|
||||
| Is the linear equation a solution? 3x+6y=9 4x+8y=16 | 3x+6y=9
4x+8y=16
3x/3+6y/3=9/3
x+2y=3
x=-2y+3
4(-2y+3)+8y=16
-8y+12+8y=16
12=16 No solution
🗑
|
||||
| is the linear equation a solution? 1/3x-y=2 x-3y=6 | 1/3x-y=2
x-3y=6 x=3y+6
1/3x(3y+6)-y=2
y+2-y=2
2=2
True solution
🗑
|
||||
| Solve the system X+2y=7 2x+2y=13 | X+2y=7
X=7-2y
2x+2y=13
2(7-2y)+2y=13
14-4y+2y=13
14-2y=13
-2y=-1
Y=1/2
To find x we let y =1/2
X=7-2y
X=7-2(1/2)
X=7-1
X=6
🗑
|
||||
| Solve the system 7x-3y=-14 -3x+y=6 | -3x+y=6
Y=3x+6
7x-3y=14
7x-3(3x+6)=-14
7x-9x-18=-14
-2x-18=-14
-2x=4
X=-2
Now substitute -2 for x in the equation y=3x+6 then y is 0
(-2,0) the order pair
🗑
|
||||
| Solve the equation by graphing. X-y=3 -x+y=-3 | x-y=3
-y=-x+3
Divide by -1 both sides
Y=x+3
The equations are identical they have infinite numbers of solutions
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
denisa29
Popular Math sets