Answer: (5,3)
Explanation:
Solve by Addition/Elimination
x + y = 8
3x − y = 12
Add the two equations together to eliminate y from the system.
x + y = 8
+ 3x −y = 12
4x = 20
Divide each term in 4x = 20 by 4.
4x = 20
4 4
Cancel the common factor of 4.
x= 20/4
x = 5
Substitute the value found for x into one of the original equations to solve for y.
(5) + y = 8
Remove parentheses.
5 + y = 8
Move all terms not containing y to the right side of the equation.
Subtract 5 from both sides of the equation.
y = 8 − 5
Subtract 5 from 8.
y = 3
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3