Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
I believe New York City was the first capital of the US.
You can set up a system of equations for this problem. x= number of coach tickets and y = number of first class tickets.
$210x + $1200y = $10,230 (cost of coach ticket plus cost of first class tickets is total budget)
x + y = 11 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 11 - x, then plug that into the first equation and solve for x:
$210x + $1200(11 - x) = $10,230
$210x + $13,200 - $1200x = $10,230
-$990x + $13,200 = $10,230
-$990x = $2,970
x = 3
Sarah bought x = 3 coach tickets. Plug that into the second equation and solve for y:
3 + y = 11
y = 8
Sarah bought y = 8 first class tickets.
Subtract 60-5 which would be 55, then divide 55 by 1.25 which would be 44 rides
Answer:
x = 8
Step-by-step explanation:
Step 1: Simplify both sides.
7 - 3x = -2/5x - 69/5
7 + - 3x = -2/5x + -69/5
-3x + 7 = -2/5x + -69/5
Step 2: Add 2/5x to both sides.
-3x + 7 + 2/5x = -2/5x + -69/5 + 2/5x
-13/5x + 7 = -69/5
Step 3: Subtract 7 from both sides.
-13/5x + 7 - 7 = -69/5 - 7
-13/5x = -104/5
Step 4: Multiply both sides by 5/(-13)
(5/-13) * (-13/5x) = (5/-13) * (-104/5)
x=8
