SOLUTION: need to solve the equation using the substitution method: 3x+4y=6, 2x+8y=9 5x+20y=3, 6x+7y=45

Algebra.Com
Question 854967: need to solve the equation using the substitution method:
3x+4y=6, 2x+8y=9
5x+20y=3, 6x+7y=45

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Either there are typos, or whoever made up this problem meant to torture students with calculations.

Substitution is not the best method to solve systems like
or .
Substitution works best when one of the coefficients is or .
You look for a coefficient that is "friendly" and solve for that variable.
When none of the coefficients is or substitution makes you work with cumbersome fractions.

For I would solve for ,
--> --> --> ,
and then I would substitute for in the other equation:
--> -->-->-->-->-->-->--> .
Then --> -->-->-->

For I would solve for ,
-->-->--> ,
and then I would substitute for in the other equation:
--> -->-->-->-->-->-->--> .
Then -->-->-->

RELATED QUESTIONS

Solve the system using the substitution method. Show all your steps. 1. x+2y=6... (answered by checkley79)
I really need help solving these problems;please! 1.) Use the intercepts to graph the... (answered by solver91311)
Solve this system using the Substitution Method: 3x – 4y + 10 -6x + 8y =15 (answered by Alan3354)
Can you help me to solve these two equation by using elimination and substitution method. (answered by richwmiller)
Can you please help me. I'm want to solve this system of equation using the substitution... (answered by Alan3354)
Good morning, can you please help be with the step by step to solving the following... (answered by ikleyn,Alan3354)
I need to solve this equation using the graphing method. 6x + 4y =2 3x + 2y... (answered by checkley79)
Solve for x or y and make the system equal to each other and solve: 2x+y=7 3x-y+3 (answered by JBarnum)
CRAMER RULE, ELIMIATION OR SUBSTITUTION METHOD, AND MATRICES PRACTICE PROBLEMS 1. (answered by richard1234)