write a system of equations?

Question

the yellow pages identity two different local electrical business. business a charges $50 for a service call, plus an additional $40 per hour of labor. business bcharges $30 for a service call, plus an additional $45 per hour of labor.

where x = hours of labor and y = total charge, write a system of equation you could solveto find the lengths of a service call for which both businesses charge the same amount. solve the system

Answer 1

y1 = 40x + 50
y2 = 45x + 30

40x + 50 = 45x + 30
-5x = -20
x = 4

ANS : 4 hours

Answer 2

4 hours is where, both companies will charge the same money. Beyond 4 hours of work, business B will be expensive to hire.

For business A, total charge, y = 50 + 40*x.

For business B, total charge, y = 30 + 45*x.

Solving the above set of equations, you will find that at x = 4 hours, charges for both businesses A and B are same.

Answer 3

Ya = 50 + 40h
Yb = 30 + 45h

Ya = Yb => 50 + 40h = 30 + 45h

=> 20 = 5h

h = 4

Ya = Yb = 210

Answer 4

The two sentences are basically two different equations. Bill bought neon fish for 2$ each, so you know that N is neon fish and it was $2 for fish : 2n. angel fish - $3 so its 3A. The total, mentioned in the next sentence, is 45. the total fish would be N+A, and there were 20 in total. First sentence becomes this: 2n + 3a = 45 n+a=20 one trick is to put all the money-involving variables in one equation, and then the counting-involving variables in the other equation.

Answer 5

C1 = 50 + 40t
C2 = 30 + 45t

set C1 = C2 and solve for t = 4 hours

Aloha

Answer 6

ya = 40x + 50

yb = 45x + 30

40x + 50 = 45x + 30

20 = 5x

x = 4 hours

Answer 7

how cute, getting people to do your homework for you.