SOLUTION: what is the answer to the following system of equations: y=2x-2 4x+3y=14

Algebra.Com
Question 644558: what is the answer to the following system of equations:
y=2x-2
4x+3y=14

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Hint:

4x+3y=14

4x+3(2x-2)=14 ... Plug in y = 2x-2

Now solve for x. Then use this to find y.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
what is the answer to the following system of equations:
y=2x-2
4x+3y=14
----
Substitute for "y" and solve for "x":
4x + 3(2x-2) = 14
4x + 6x - 6 = 14
10x = 20
x = 2
-------
Solve for "y:
y = 2x-2
y = 2*2-2 = 2
----
Cheers,
Stan H.

RELATED QUESTIONS

what is th solution to the following system of equations? {2x-3y=4 {4x+y=-6 A.(5,-2) (answered by stanbon)
What is the solution to the following system of equations? 2x+3y=6... (answered by checkley77)
What is the value of y in the solution to the following system of equations? 5x – 3y = (answered by Alan3354,Drum3freak)
How many solutions exist for the following system of equations? -4x – 6y = -28 2x + 3y... (answered by josmiceli)
solve the following system of equations using substitutions 2x-3y=-2 and... (answered by mando271)
Find the solution to the following System of Linear Equations y=4x-2... (answered by ikleyn)
What is the solution to the following system of equations? x+y-z=-1 4x-3y+2z=16... (answered by Fombitz)
What is the value of x in the following system of equations ? 2x + 3y =6 2x + y =... (answered by stanbon)
Given the following system of equations : 2x+3y=12 2x-2y=2 What is the value of... (answered by FrankM)