Answer:
(x, y) = (-7, 7)
Step-by-step explanation:
y= 7
-3 - 2x = 7
<em>Substitute the given value of y into the equation</em>
- 3x - 2 x 7 = 7
<em>Solve for the equation for x </em>
x = -7
<em>The possible solution of the system is the ordered pair (x, y)</em>
(x, y) = ( -7, 7)
<em>Check if the given ordered pair is the solution of the system of equations</em>
7= -3x (-7) - 2 x 7 = 7
= 7 = 7 = 7
x = -3
(-3,7)
y = –3x – 2,
y = 7
We know the value of y, y=7
Substitute into the first equation
7 = –3x – 2
Add 2 to each side
7+2 = –3x – 2+2
9 = -3x
Divide each side by -3
9/-3 = -3x/-3
-3 = x
y = 3.5X - 6921.2
Given the data :
X :
1990
1992
1994
1996
Y :
45
51
57
61
75
Using an online regression calculator ; the regression model obtained is : y = 3.5X - 6921.2
Where ; slope = 3.5 ; intercept = - 6921.2
