Linear Combination- 3x+2y=6
and 4x+y=8
1. Multiply one or both of the equations by a
number so that the one variable only differs in
its sign. |
3x+2y=6
(4x+y=8)-2
3x+2y=6
-8x+-2y=-16 |
| 2. Add the two equations
together. (one variable should cancel out) |
3x+2y=6
-8x+-2y=-16
3x=6
-8x=-16
-5x=-10
x=2
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| 3. Substitute the found
value in one of the equations and solve for the
remaining variable. |
3(2)+2y=6
6+2y=6
2y=0
y=0 |
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Substitution- 3x+2y=6
and 4x+y=8
| 1. Solve one equation for
one varialbe. |
4x+y=8
y=-4x+8 |
2. Substitute the answer into the opposite
equation and solve for the opposite variable. |
3x+-4x+8=6
-x+8=6
-x=-2
x=2 |
3. Substitute the integer
into one of the original equations and solve for
the other variable. |
4(2)+y=8
8+y=8
y=0 |
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Graphing- 3x+2y=6
and 4x+y=8
| 1. Put the equations into
slope-intercept form. |
3x+2y=6
y=(-3/2)+3 4x+y=8
y=-4x+8 |
2. Plot the points and create each line. |
3. Locate the point where the two lines cross.
That is the answer.
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