( - 1, - 8 )
since both equations give y in terms of x we can equate them
3x - 5 = 2x - 6
subtract 2x from both sides of the equation
3x - 2x - 5 = - 6
x - 5 = - 6
add 5 to both sides
x = - 6 + 5 = - 1
substitute x = - 1 into either of the 2 equations for y
y = (3 × - 1) - 5 = - 3 - 5 = - 8
solution to the system is (- 1, - 8 )
First, assign a variable to each unknown value.
Let:
x = cost of the pepperoni pizza
y = cost of the plain pizza
Next, set up equations based on the word problem. We then have the following equations:
(1) 3x + 2y = 58.50
(2) 2x + 4y = 67
Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".
To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.
-2[3x + 2y = 58.50]
-6x -4y = -117
Then add this to equation (2):
-6x -4y = -117
2x + 4y = 67
-------------------
-4x = -50
x = -50/-4 = 12.5
To solve for y, we use equation (2) and substitute the value of x which has been solved already.
2(12.5) + 4y = 67
y = 10.5
To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.
Answer:
Step-by-step explanation:
let the speed of Landon=x
speed of Eduardo=x+9
5x+5(x+9)=135
divide by 5
x+x+9=135/5=27
2x+9=27
2x=27-9
2x=18
x=18/2=9
speed of Landon=9 mph
speed of Eduardo=9+9=18 mph
Answer:
yes they do got an relationship
Step-by-step explanation:
Substitute the value 350 in for your velocity:
350 = 20 * sq rt(273+t)
divide both by 20 --> 17.5 = sq rt(273 +t)
square both to cancel out the sq rt --> 306.25 = 273 +t
then just subtract 273 from both to get 33.25 = t