SOLUTION: Dont know what this is and how to do it at all. Teacher does not explain at all. y=2x-9 x+3y=8 Solve each system by substitution

Algebra.Com
Question 395915: Dont know what this is and how to do it at all. Teacher does not explain at all.
y=2x-9
x+3y=8
Solve each system by substitution

Found 2 solutions by richard1234, stanbon:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Substitute the expression for y from the first equation into the second equation to obtain a single-variable equation. As in,

x + 3(2x - 9) = 8

Then, you can easily solve for x, then plug in x into either equation to find y.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
y=2x-9
x+3y=8
Solve each system by substitution
-----
Substitute for "y" in the 2nd equation.
Then solve for "x":
----
x + 3(2x-9) = 8
---
x + 6x-27 = 8
7x = 8+27
----
7x = 35
---
x = 5
--------
Now solve for "y"
y = 2x-9
y = 2(5)-9
---
y = 1
=====================
Solution: (5,1)
=====================
Cheers,
Stan H.
===========

RELATED QUESTIONS

Determine whether (2, -3) is a solution to the following system of equations. Be sure to... (answered by jennywecas,MathTherapy)
i dont get how to do this at all. i learned once, but ive forgotten & i forgot to bring... (answered by stanbon)
I Missed A Day At School And My Teacher Is Not Able To Teach Me This At All, So Im Stuck. (answered by ankor@dixie-net.com)
i do not understand this problem at all and i dont understand what im suppose to do on... (answered by richwmiller,solver91311)
my math teacher is literally horrible at teaching and every year 75% of his class fails... (answered by rodriguezh2)
Solving Systems of Linear Equations by Graphing 2x-y=4 x+y=5 How do I do these... (answered by checkley77)
Please help me solve this system of equations: Directions: Solve using elimination and (answered by MathTherapy)
i dont understnad this at all. On my algebra homework it says Parallel y=6x-5 (10,7) and... (answered by scott8148)
Solve by the elimination method. 9x-9y=36 7y-3x= -14 What is the solution of the... (answered by scott8148)