5x+7y=6 and x+8y=12 multiply the 5 coefficient by opposite of x value so. -5(x+8y)=-5×12. Simplify to get -5x-40y=-60. Now add the two equations to eliminate x. 5x+7y=6 + -5x-40y=-60. Equals -33y=-66 Now solve for y by dividing -33 on both sides . Y= 2. Now substitute your answer for y into one of the origibal equations to find x . X+8(2)=12 Now solve x+16=12 Now move 16 to right side .x= -16+12 . Solve to get x= -4. So now you have your answer for x and y (-4,2) .
Answer:
The cost of ride of tax per minute is $3 per minute
Step-by-step explanation:
We are given
where
C(x) is cost for a taxi ride
x is the number of minutes
we know that
slope is the rate of change of function
we can compare with linear equation formula and find slope
we get
slope =3
so,
The cost of ride of tax per minute is $3 per minute
Answer:
Here, the given system of inequalities,
y ≤ -x + 55 --------(1)
y > -1.5 x + 15 -------(2),
The related line of the inequality (1) is,
y = - x + 55 ------(3)
Which having x-intercept = (55,0)
And, y-intercept = (0,55),
Also, at (0,0),
Inequality (1), 0 ≤ 0 + 55 ( True )
Thus, it will contain the origin,
Also, ≤ sign stated that the inequality (1) is a solid line,
Now, The related line of the inequality (2) is,
y = -1.5 x + 15 -----(3)
Which having x-intercept = (10,0)
And, y-intercept = (0,15),
Also, at (0,0),
Inequality (1), 0 > 0 + 15 ( False )
Thus, it will not contain the origin,
Also, > sign stated that the inequality (2) is a dashed line,
Now after solving equation (3) and (4) we get,
x = -80 and y = 135
⇒ The intersection point of line (3) and (4) is (-80,135)
Hence, by the above explanation we can plot the given system of inequalities ( Shown below )
