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Math help. I need fast help otherwise I don't pass please?
1. 4x - 2y = -12
2x + y = -2
Part 1: Solve the system by graphing. Draw the graphs on paper and indicate their intersection point. Type the ordered pair solution here as your answer to Part 1.
Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair.
Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair.
1 Answer
- mracquireLv 58 years ago
Part 1: For each equation set x = 0 to get the y value of (0,y) and set y = 0 to get the x value of (x,0). Next, graph each line by drawing a straight line between (0,y) and (x,0) and extrapolating each if necessary until both lines intersect. You'll find that they intersect at (-2,2).
Part 2: To use substitution, take either equation and rework it to either express x in terms of y or y in terms of x. Then substitute that expression for that variable in the other equation. For example, in the second equation, it's easy to set y = -2x -2 so substitute that for y in the other equation to solve for x. Once you know x, you can solve for y. You'll get (-2,2).
Part 3: To use addition, you must multiple both sides of one equation by some value so that when you add the two equations together, one of the variables gets eliminated. For example, if you multiply the second equation by 2, you get 4x + 2y = -4. Thus, you'll have a -2y in the first equation and a +2y in the second equation. Now add them together, y gets eliminated, and you can solve for x. Once you know x, you can solve for y. You'll get (-2,2).
