Answer:
(1, -8)
Step-by-step explanation:
Solve by Substitution
9x − y = 17 and 5x + 4y = −27
Solve for y in the first equation.
y = −17 + 9x 5x + 4y = −27
Replace all occurrences of y with −17 + 9x in each equation.
Replace all occurrences of y in 5x + 4y = −27 with −17 + 9x. 5x + 4 (−17 + 9x) = −27
y = −17 + 9x
Simplify 5x + 4 (−17 + 9x).
41x − 68 = −27 y = −17 + 9x
Solve for x in the first equation.
Move all terms not containing x to the right side of the equation.
41x = 41
y = −17 + 9x
Divide each term by 41 and simplify.
x = 1
y = −17 + 9x
Replace all occurrences of x with 1 in each equation.
Replace all occurrences of x in y = −17 + 9x with 1. y = −17 + 9 (1)
x = 1
Simplify −17 + 9 (1).
y = −8
x = 1
The solution to the system is the complete set of ordered pairs that are valid solutions.
(1, −8)
The result can be shown in multiple forms.
Point Form:
(1, −8)
Equation Form:
x = 1, y = −8
