Simply cross-multiply about,
If you would like to solve the equation -5x - 25 = 78, you should do this using the following steps:
<span>-5x - 25 = 78
</span>-5x - 25 + 25 = 78 + 25
-5x + 0 = 103
-5x = 103 /(-5)
x = 103 / (-5)
x = - 103/5 = - 20.6
The error was already made at step 1.
G=gas
w=bottle of water
8g + 2w = 29
12g + 4w = 45
I'm going to use elimination to cancel out the variable w by multiplying the first equation by -2.
-16g - 4w = -58
12g + 4w = 45
-4g = -13
/-4 /-4
g = 3.25
Now plug it into an equation, any equation.
8 (3.25) + 2w = 29
26 +2w=29
w=1.5
Now to check, plug it into both equations if you want.
12 (3.25) + 4 (1.5)=45
39 + 6=45
One bottle of water is $1.50, while one gallon of gas is $3.25.
Answer:
The number of the television sets that is model p is 12
Step-by-step explanation:
Here we have total number of television sold = 40
The model p televisions sold for $30 less than the model q televisions
That is $P = $q - $30
Therefore
Let the quantity of the model p sold be X
Let the quantity of the model q sold be X
Therefore
x + y = 40
Total cost of the television = 40 * 141 = $5640
Therefore, 120*x + 90*y = 5640
Plugging in x = 40 - y in the above equation we get
4800 - 30y = 5640 or
y = -28 and
x = 68
If we put y = 40 - x we get
30x + 3600 = 5640
If we put
120*x + 150*y = 5640.........(3)
we get
x = 12 and y = 28
Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12