Question 391137
Solve by graphing method:

3x=7+4_x-y=6

Add 4 to 7 to get 11.
3x=11_x-y=6

Divide each term in the equation by 3.
(3x)/(3)=(11)/(3)_x-y=6

Simplify the left-hand side of the equation by canceling the common factors.
x=(11)/(3)_x-y=6

Since x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting x from both sides.
x=(11)/(3)_-y=-x+6

Multiply each term in the equation by -1.
x=(11)/(3)_-y*-1=-x*-1+6*-1

Multiply -y by -1 to get y.
x=(11)/(3)_y=-x*-1+6*-1

Simplify the right-hand side of the equation by multiplying out all the terms.
x=(11)/(3)_y=x-6

Create a graph to locate the intersection of the equations.  The intersection of the system of equations is the solution.
x=(11)/(3)_y=x-6



Solving by Subtitution Method

3x=7+4_x-y=6

Add 4 to 7 to get 11.
3x=11_x-y=6

Divide each term in the equation by 3.
(3x)/(3)=(11)/(3)_x-y=6

Simplify the left-hand side of the equation by canceling the common factors.
x=(11)/(3)_x-y=6

Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is (11)/(3).
x=(11)/(3)_((11)/(3))-y=6

Remove the parentheses around the expression (11)/(3).
x=(11)/(3)_(11)/(3)-y=6

Since (11)/(3) does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting (11)/(3) from both sides.
x=(11)/(3)_-y=-(11)/(3)+6

Simplify the right-hand side of the equation.
x=(11)/(3)_-y=(7)/(3)

Multiply each term in the equation by -1.
x=(11)/(3)_-y*-1=(7)/(3)*-1

Multiply -y by -1 to get y.
x=(11)/(3)_y=(7)/(3)*-1

Multiply (7)/(3) by -1 to get -(7)/(3).
x=(11)/(3)_y=-(7)/(3)

Replace all occurrences of x with the solution found by solving the last equation for x.  In this case, the value substituted is (11)/(3).
x=(11)/(3)_y=-(7)/(3)