From Equation 1: x = 3y - 23
Substitute for x in equation 2: 5(3y - 23) + 6y = 74
ie 15y - 115 + 6y = 74
ie 21y - 115 = 74
Add 115 to each side: 21y = 189
Divide each side by 21: y = 9
x = 3y - 23 ie 27 - 23 ie 4
x = 4, y = 9
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
(2,3)
2x+7y=29 x=37-8y
There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.
By the substitution method By the elimination method By plotting them on a graph
isolate
It is not always the best method, sometimes elimination is the way you should solve systems. It is best to use substitution when you havea variable isolated on one side
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
how do you use the substitution method for this problem 2x-3y=-2 4x+y=24
2x-3y=13
5x+8 = 10x+35x-10x = 3-8-5x = -5x = 1 and by substituting the value of x into the equations y = 13
there are three methods: combination, substitution and decomposition.