Answer:
( − 2 , 2 )
Explanation:
Add 2 x to both sides of the equation.
y = 6 + 2 x 5 x + 3 y = − 4
Replace all occurrences of y with 6 + 2 x in each equation.
Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x
Simplify the left side.
11 x + 18 = − 4 y = 6 + 2 x
Solve for x in the first equation.
x = − 2 y = 6 + 2 x
Replace all occurrences of x with − 2 in each equation.
y = 2 x = − 2
The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.
Point Form: ( − 2 , 2 )
Equation Form: x = − 2 , y = 2