Answer:
* Substation :
Subtract y from both sides of the equation.
x=6−y
x−y=4
Replace all occurrences of x with 6−y in each equation.
6−2y=4
x=6−y
Solve for y in the first equation.
y=1
x=6−y
Replace all occurrences of y with 1 in each equation.
x=5
y=1
The solution to the system is the complete set of ordered pairs that are valid solutions. (5,1)
The result can be shown in multiple forms. Point Form: (5,1)
Equation Form: x=5,y=1
* Elimination :
Multiply each equation by the value that makes the coefficients of x opposite.
x+y=6
(−1)⋅(x−y)=(−1)(4)
Simplify.
x+y=6
−x+y=−4
Add the two equations together to eliminate x from the system.
(x+y=6) + (−x+y=−4) = (2y=2)
Divide each term by 2 and simplify.
y=1
Substitute the value found for y into one of the original equations, then solve for x.
x=5
The solution to the independent system of equations can be represented as a point.
(5,1)
The result can be shown in multiple forms. Point Form:(5,1)
Equation Form: x=5,y=1
Explanation:
* Graph