SOLUTION: How do you figure this out when y is isolated on both equations: y=3x+1 y=6x-1 Thank you

Algebra.Com
Question 154933: How do you figure this out when y is isolated on both equations:
y=3x+1
y=6x-1
Thank you

Found 3 solutions by scott8148, stanbon, orca:
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
you substitute equals for equals

3x+1=6x-1 __ subtracting 3x __ 1=3x-1 __ adding 1 __ 2=3x __ dividing by 3 __ 2/3=x

substituting for x __ y=3(2/3)+1 __ y=3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How do you figure this out when y is isolated on both equations:
y=3x+1
y=6x-1
------------
Since both are "y", they can be substituted to give:
3x + 1 = 6x -1
3x = 2
x = 2/3
------------------
Substitute into y=3x+1 to solve for "y":
y = 3(2/3) = 2
-----------------
Ans: x = 2/3 ; y = 2
==========================
Cheers,
Stan H.

Answer by orca(409)   (Show Source): You can put this solution on YOUR website!
The easiest way to solve this system of equations is:
As y is equal to both 3x + 1 and 6x - 1, so
6x - 1 = 3x + 1
Solving it for x, we have
3x = 2
so x = 2/3
Substituting x = 2/3 into y = 3x + 1, we have
y = 3*(2/3) + 1 = 3
*************************************************
ALTERNATIVE SOLUTION:
Change the system into standard form.
-3x + y = 1
-6x + y = -1
then solve it.

RELATED QUESTIONS

Solve for y y*(a-b) = c*(y+a) I have isolated y on the left by multiplying by... (answered by josgarithmetic)
Please help me! How do i figure out x and y for these equations? x and y have to be the... (answered by madhan_math)
how do I figure this equation when y=1/2x-2 when you have (-6,?),... (answered by Fombitz)
The problem is y = 1/2x + 1 and "x" is -4. How do we figure out what -y is on the graph? (answered by Earlsdon)
my math teacher is literally horrible at teaching and every year 75% of his class fails... (answered by rodriguezh2)
I really can't figure this one out ! What is the simplified form of the expression ?... (answered by stanbon)
how do you solve two equations with variables on both sides? y + 1/2 = -1/3(x +... (answered by richwmiller)
I am working on systems of linear equations. (Solve the system by graphing my book... (answered by stanbon)
How do I graph and label the following function on separate coordinate planes? I cannot... (answered by stanbon)