Answer:
(12, 48 )
Step-by-step explanation:
Given the 2 equations
y = 5x - 12 → (1)
y = 3x + 12 → (2)
Substitute y = 5x - 12 into (2)
5x - 12 = 3x + 12 ( subtract 3x from both sides )
2x - 12 = 12 ( add 12 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Substitute x = 12 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 3(12) + 12 = 36 + 12 = 48
solution is (12, 48 )
Answer:
(1,3)
Step-by-step explanation:
y = 2x+1
y = 4x-1
Since both equations are equal to y, we can set them equal to each other
2x+1 = 4x-1
Subtract 2x from each side
2x+1-2x = 4x-2x-1
1 = 2x-1
Add 1 to each side
1+1 = 2x-1+1
2 = 2x
Divide each side by 2
2/2 = 2x/2
1 =x
Now we need to find y
y = 2x+1
y = 2(1)+1
y =3
Answer:
Depreciation fee = $5,850
Step-by-step explanation:
Kindly check attached picture for detailed calculation
Using PEMDAS
(Parenthesis)(Exponents)(Multiplication/Division)(Addition/Subtration)
So:


Answer:

Step-by-step explanation:
The standard charge includes an initial fee and plus an addditional fee for each mile driven and is given by:

The insurance charge is given by:

So, the total charge C will be the sum of the standard charge S and the insurance charge I:

Substitute:

Rearrange:

Add:

And we have acauired our equation relating C to M!