The given equation is ⇒⇒⇒ 2y - 4x = 6
∴ 2y = 4x + 6 ⇒ divide all the equation over 2
∴ y = 2x + 3 and it can be written as ⇒⇒⇒ y - 2x = 3
The last equation represents a straight line with a slope = 2 and y-intercept = 3
To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.
so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a
Where a is constant and belongs to R ( All real numbers )
The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>
Answer:
x = 2
Step-by-step explanation:
Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:
x^2 - 2x + 1 = x^2 + 2x - 7
We now do algebra to isolate x. Subtract 1 from both sides.
x^2 - 2x = x^2 + 2x - 8
Subtract 2x from both sides.
x^2 - 4x = x^2 - 8
Subtract x^2 from both sides.
-4x = -8
Divide both sides by -4.
x = 2
Answer: $5289.35
Step-by-step explanation:
Since the cars have an average mileage of 6.78 miles per gallon and the race is 500 miles, the number of gallons each car will take will be:
= 500/6.78
= 73.75 gallons
Since they're 44 cars, the total gallons of fuel will be:
= 44 × 73.75
= 3245 gallons
Since the fuel cost is $1.63 per gallon, the total fuel cost, will be:
= $1.63 × 3245
= $5289.35
I think the answer is 1/23
Please tell me if I'm wrong.
Alright so the answer would be letter B, because
win-to-loss
49 to 21 (You can determine her losses by subtracted the number of wins from her total number of games played)
Now you must simplify your answer
7 is the greatest common factor (GCF) of both 49 and 21
Now divide both 49 and 21 by 7 to get
7 to 3
