24.5=-2.5c-4c
24.5=-6.5c
49=-13c
3.77=-c
c=-3.77
Let's translate each sentence into "Math".
Pineapple = p
Orange = x
is means equal
Pineapple is 7 times as heavy as an orange: p = 7x
Pineapple weighs 870 grams more than orange. p = 870 + x
Substitute p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
divide by 6
x = 145
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.
9514 1404 393
Answer:
- x = x+1
- 0 = x+1
- x+1 = x+1
Step-by-step explanation:
1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.
If we choose to make our equation ...
x = x +1
Subtracting x from both sides of the equation gives ...
0 = 1
There is no value of the variable that will make this be true.
__
2. Something that reduces to x = c will have one solution. One such equation is ...
0 = x+1
x = -1 . . . . subtract 1 from both sides
__
3. Something that reduces to x = x will have an infinite number of solutions.
One such equation is ...
x+1 = x+1
Subtracting 1 from both sides gives ...
x = x . . . . true for all values of x
First car is x
second car is y
25x+30y=1550
x+y=55
Multiply the second equation by -25 for elimination method to cancel out x
-25x-25y=-1375
Add the two equations
5y=175
y=35
Plug this value into the second equation
x+35=55
x=20
Final answers:
First car=20 gallons
Second car=35 gallons
Answer:
She didn't make a mistake
Step-by-step explanation:
