There are three ways to to solve a system of two equations with two unknowns.
1. Graphing: To use the graphing method, you must first put the equations in slope intercept form, (y=mx+b). After graphing each equation, you have to find where they intersect. The coordinates of the intersection is the solution. However, equations can have more/less than one solution. If the equations form parallel lines, there is no solution. If the lines run on top of each other, there are infinite solutions.
2. Substitution: For substitution, one variable from one equation has to be substituted and brought to the opposite side of the equals sign. Then, the equation is in slope-intercept form. For the other equation, the first equation has to be plugged in. After plugging in the equation, you simply solve the equation by combining like terms and solving.
3. Elimination: To use this technique, you have to cancel out one of the variables to find the other. You can do this by subtracting or adding the equations together. Once the term is alone, you can solve the rest of the equation to find the solution.
I like using the graphing method the most. Instead of having to do extra math, you just have to look at the graph to find the solution. That's easier for me because elimination is a little complicated in my opinion. My second choice would be substitution since I understand how to plug in the functions and find the solution that way.
1. Graphing: To use the graphing method, you must first put the equations in slope intercept form, (y=mx+b). After graphing each equation, you have to find where they intersect. The coordinates of the intersection is the solution. However, equations can have more/less than one solution. If the equations form parallel lines, there is no solution. If the lines run on top of each other, there are infinite solutions.
2. Substitution: For substitution, one variable from one equation has to be substituted and brought to the opposite side of the equals sign. Then, the equation is in slope-intercept form. For the other equation, the first equation has to be plugged in. After plugging in the equation, you simply solve the equation by combining like terms and solving.
3. Elimination: To use this technique, you have to cancel out one of the variables to find the other. You can do this by subtracting or adding the equations together. Once the term is alone, you can solve the rest of the equation to find the solution.
I like using the graphing method the most. Instead of having to do extra math, you just have to look at the graph to find the solution. That's easier for me because elimination is a little complicated in my opinion. My second choice would be substitution since I understand how to plug in the functions and find the solution that way.