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Wk8Dy2 Systems Review Graphing & Substitution.notebook
1
October 30, 2014
Solving a system by GRAPHING:
1) Graph each equation on the same coordinate plane:
if either equation is NOT in slopeintercept form, change it!
use a straight edge to draw your lines
label your lines!
2) Find and label the point of intersection with the coordinates (x, y).
3) You're done
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
2x y = 4
y = 1/3 x + 1
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
y = 2/3 x + 1
2x + 3y = 9
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
y = 2x + 3
4x + 2y = 6
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
Solving a system:A system of equations can have one, infinite, or no solutions.
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
Solving a system by SUBSTITUTION:
1) Choose and solve one equationfor a single variable (often either x or y).
if one equation already has a variable by itself on one side, move on to step 2!
2) Substitute into the second equation in place of the variable you solved for
now you should have a NEW equation with only one variable (though it could show up in more than one place in the equation but you won't have x AND y)
3) Solve the new equation for your variable.
4) Use the first answer to solve for the second variable.
5) Write your answer as an ordered pair.
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
2x + y = 1
x = 2y 13
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
4x 3y = 15
y = 4/3 x 7
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
y = 1/2 x + 4
x + 2y = 8
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
Delta Math:
Work on the sections assigned to you, starting with the first highlighted section.
When you have gotten 4 in a row right within a section, check it off on your paper and go to the next section.
All work should be neatly completed in the OTL section of your spiral.
Wk8Dy2 Systems Review Graphing & Substitution.notebook
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October 30, 2014
