SOLUTION: please help me to understand substitution. here is an example 2x+5y=5 x+3y=4

Question 716302: please help me to understand substitution. here is an example 2x+5y=5
x+3y=4
Found 2 solutions by solver91311, lynnlo:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve one of the equations for one of the variables in terms of the other. In your example, it is convenient to solve the second equation for in terms of because you only have to add to both sides.

Now that you have one of the variables defined in terms of an expression involving the other variable, replace (substitute) the defined variable in the other equation with the expression. In your example, replace in the first equation with

Solve the single variable equation that remains. Your example: solve for .

Once you have a value for one of the variables ( in your case) substitute that value back into either of the original equations and then solve for the remaining variable.

Report the solution as an ordered pair,

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!
2X+5Y=5
X+3Y=4
USING SUBSTITUTION METHOD:
X AS A FUNCTION OF Y(FROM THE FIRST EQUATION X=(5-5Y)/2
SUBSTITUTE INTO SECOND EQUATION
1(5+5Y)/2+3Y=4
SIMPLIFY:
1Y=3 OR Y=3
SUBSTITUTING Y=3 BACK INTO THE X EXPRESSED AS FUNCTION OF Y
X=(5-5Y)/2=-5
RELATED QUESTIONS
how do you solve sytems of equations by graphing? here is an example that my math book... (answered by Cintchr)
please help me solve this promblem use the substitution method to solve the linear... (answered by jim_thompson5910,B-Rod33)
please help me solve this using substitution, I don't understand how to work any of these (answered by Alwayscheerful)
I do not understand what the symbol is that looks like a multiplication symbol but is... (answered by Alan3354,ewatrrr)
Please help me solve this by substitution x+6y=9 2x+5y=4 (answered by Fombitz,person24)
Someone PLEASE help me! I am solving and graphing parabolas and I just dont understand... (answered by jim_thompson5910,MathLover1)
I am suppose to solve the systems of equations by elimination and I don't understand it.... (answered by richwmiller)
Hi, What are the steps to solve a system of linear equation by using the elimination... (answered by elima)
Hello I am trying to do my math homework and there are still questions that I just don't... (answered by Alan3354)