74=x+y is the equation at the beginning we will say that x is the smaller number and y is the larger one. Now we substitute the larger number (y) for 26+2x. Plug that into the beginning equation to get 74= x+ 26+2x. Now solve.
74=3x+26
48=3x
16=x
So we know that our smaller number is 16. To find the larger number we plug the value of the smaller number into the equation for the larger number like this.
y=26+2x
y=26+2(16)
y=26+32
y=58.
So to check our answer we can plug in both values into the beginning equation.
74=58+16
74=74.
So to sum this up the smaller number is 16 and the larger number is 58.
Answer:
B. a6b8c3
Step-by-step explanation:
So we are given the following system:

Using the first equation again we get:
Answer:
Step-by-step explanation:
The prime cost = 4 times the value of material used
Former Prime cost = 540
Value of material = 540 / 4 = Rs. 135
Since ;
Prime cost = raw material + wages
540 = 135 + wages
Wages = 540 - 135
Wages = 405
Increase in raw material ; 3 : 4
New cost of raw materials = (4/3) * 135 = 180
Decrease in wage ; 4 : 5
New wage = 4/5 * 405 = 324
New prime cost :
180 + 324
= 504
Answer:
-4 / 7
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
m = (7 - 3) / (2 - 9)
m = 4 / -7
m = -4 / 7
OR
m = (y2 - y1) / (x2 - x1)
m = (3 - 7) / (9 - 2)
m = -4 / 7