Answer:
x=-1 y=4 (-1,4)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
x + y =6
x - y = 4
A. 3+3=6, but 3-3 doesn't equal 4
B. 5+1=6 and 5-1 equals 4
C. 6+0 equals 6 but 6-0 doesn't equal 4
D. 2+4 equals 6 but 2-4 doesn't equal 4
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1