Answer:
(6, -1)
Explanation:
Solve the System of Equations
2x + 3y = 9 and x − 2y = 8
Add 2y to both sides of the equation.
x = 8 + 2y 2x + 3y = 9
Replace all occurrences of x with 8 + 2y in each e quation.
Replace all occurrences of x in 2x + 3y = 9 with 8 + 2y. 2 (8 + 2y) + 3y = 9
x = 8 + 2y
Simplify 2 (8 + 2y) + 3y.
16 + 7y = 9
x = 8 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
7y = −7
x = 8 + 2y
Divide each term by 7 and simplify.
y = −1
x = 8 + 2y
Replace all occurrences of y with −1 in each equation.
Replace all occurrences of y in x = 8 + 2y with −1. x = 8 + 2 (−1)
y = −1
Simplify 8 + 2 (−1).
x = 6
y = −1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(6, −1)
The result can be shown in multiple forms.
Point Form:
(6, −1)
Equation Form:
x = 6, y = −1