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VIDEOS, NOTES, AND LINKS TO HELP YOU PASS 6TH GRADE MATH!
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Anderson's 6th Grade Math Problems
All the information you need for
6th Grade Math
MR. ANDERSON EXPLAINS... SYSTEMS OF EQUATIONS
 GRAPHING 1The problem |  GRAPHING 2Place a dot for the y-intercept of the first equation. The y-intercept is the "b" in y = mx + b. In the first equation the y-intercept is -5. |  GRAPHING 3Plot points using the slope. The slope is the "m" in y = mx + b. Slope is RISE over RUN. In equation one, the slope is 3. That means while putting the points on the graph, you are going to go up 3 and right 1 for each point. Connect the dots when finished. |
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 GRAPHING 4Now, we need to graph the second equation. Place a dot for the y-intercept of the second equation. The y-intercept is the "b" in y = mx + b. In the second equation the y-intercept is 5. |  GRAPHING 5Plot points using the slope of the second equation. The slope is the "m" in y = mx + b. Slope is RISE over RUN. In equation two, the slope is -2. That means while putting the points on the graph, you are going to go down 2 and right 1 for each point. Connect the dots when finished. |  GRAPHING 6Your answer is the ordered pair where the two lines cross. This is the point of intersection. For this system of equations, the answer is (2,1). |
 EASY SUBSTITUTION 1The problem. |  EASY SUBSTITUTION 2Both equations are y=. Since we know y=y, we could also say that 3x - 7 = -2x + 13. |  EASY SUBSTITUTION 3Once the two equations are set equal to each other, solve for x. You solve by doing the opposite and following SADMEP. First, move the variables to one side, then proceed to solve the rest. |
 EASY SUBSTITUTION 4Once you have an answer for x, you need a y. Take your x value and plug it in for x in whichever equation looks easier. |  EASY SUBSTITUTION 5Your x and y values combine to make an ordered pair for your answer. For this system of equations, the answer is (4,5). |  SUBSTITUTION 1The problem. |
 SUBSTITUTION 2Since one equation is y=, that equation can replace y in the other equation because y=y. |  SUBSTITUTION 3Equation two replaced y in equation one. |  SUBSTITUTION 4Solve for x. First, distribute (don't forget about the signs). Next, combine all variables. Once finished solving, you will have the x value for your answer. |
 SUBSTITUTION 5Plug the x value into one of the equations to find your y value. |  SUBSTITUTION 6Your x and y value combine to make an ordered pair. In this system of equations the answer is (5,3). |
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