Question

Which ordered pair is the best estimate for the solution of the

system of equations?
y=-1/5x+1
y=x+4
O (-2.25, 1.75)
O (-2.75, 1.25)
O(-2.75, 1.75)
O (-2.5,1.5)

Answer 1

The ordered pair is (-2.5, 1.5).


y=-1/5x + 1
y= x+4
First, substitute the lower equation in the system into the upper equation’s y variable. x+4 = (-1/5)x + 1
Now we want to isolate the variable, x.
x + (1/5)x = 1 - 4
Multiply both sides by 5.
5x + x = -15
Which simplifies to
6x = -15
Divide both sides by 6;
x = -2.5

To find y, substitute the x value we just found into the lower equation in the system (since it’s easier).
y = -2.5 + 4
which simplifies to
y = 1.5


So, the best estimate for the solution to the system of equations is the ordered pair (-2.5, 1.5)