SOLUTION: 32x + 23y = 10,100 12x + 14y = 5400 substituttion the varible. I selected equation 2 first to solve for y, but couldn't get y by itself. please help... subtracted 12x from b

Algebra.Com
Question 392211: 32x + 23y = 10,100
12x + 14y = 5400
substituttion the varible. I selected equation 2 first to solve for y, but couldn't get y by itself. please help...
subtracted 12x from both sides of 12x + 14y = 5400 I got:
14y = 5400-12x....what is my next step?


Found 2 solutions by edjones, stanbon:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
divide the equation by 14.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!

32x + 23y = 10,100
12x + 14y = 5400
substitute the varible. I selected equation 2 first to solve for y, but couldn't get y by itself. please help...
subtracted 12x from both sides of 12x + 14y = 5400 I got:
14y = 5400-12x....what is my next step?
-------------
y = (2700-6x)/7
--------
Substitute to get:
32x + 23[2700-6x]/7 = 10100
32x + (62100-138x)/7 = 10100
---
Multiply thru by 7 to get:
224x + 62100 - 138x = 7*10100
86x = 8600
x = 100
=============
Substitute to solve for "y":
y = (2700-6*100)/7
y = (2100)/7
y = 300
==============
Cheers,
Stan H.

RELATED QUESTIONS

Solve for X, Y, and Z in the following equations: c. 22X + 5Y + 7Z = 12 10X + 3Y +... (answered by Alan3354)
Select the equation of the line that passes through the given two points. Note that the... (answered by Alan3354)
6x+23y=42 solve for y (answered by ReadingBoosters)
Please use the Gauss-Jordan method to solve system of equations 23. 6x-3y = 1... (answered by AnlytcPhil)
I need help "Identifying the vertices and foci of 4x^2-y^2+32x-14y-85=0"... (answered by lwsshak3)
the problem is: 2y^2=14y. I need to solve this by factoring. The first thing I think I (answered by Nate)
Factor to find the center and radius of the given equation: a) x^2+y^2-8x=65 I... (answered by richwmiller)
Select the equation of the line that passes through the given two points. Note that the... (answered by KMST)
How would I solve the following problem? X^-2-Y^-2 _________ X^-1+Y^-1 I... (answered by w_parminder)