This week in Math 10, we learned System of Linear Equations (the point at which two lines on a graph meet). There are two ways to solve systems, one of them is substitution (an algerbraic method of finding solutions for sustems) and the other is elimination (elimination is used when all variables have a coefficient that isn’t one)

Substitution

step 1- when you are given 2 equations, isolate x or y in one of the equations. When you get a new equation, plug it into the second equation

Step 2- solve

step 3- once you find one of the variables, use it to plug it into the other equation you were given. Solve again so you find the other variable.

Step 4- verify that your coordinates are correct by plugging them into the equations given in the beginning to see if they give the same number that it equals

Now we know where the linear equations meet on the graph.

Elimination

Step 1- find a zero pair in the two equations that you were given. Take out the zero pair from the equation and add or subtract the new equations together to form one equation.

Step 2- solve to isolate x or y

Step 3- use the variable that you found and plug it into one of the original equations from the beginning and solve for the opposite variable

Step 4- verify by plugging the numbers into the original equations to see if they add properly.

Now we know where the two linear equations meet