Solving for x
7x+19=-2x+55
x=4
How old am I if 360 is reduced by 2 times my age, is 324?
18 years old
y=-1
y=-5/2x+4
(2,-1)
-3x+3y=3
y=5
(4,5)
x-y=11
2x+y=19
(10,-1)
4(x-3)+2x=36
x=8
It costs $4 per gallon to fill up my gas tank. Luckily, I have a $10 dollar gift card to apply to my total of $58. How many gallons of gas did I purchase?
12 gallons of gas
y=4x+3
y=-x-2
(-1,-1)
2x-y=-1
y=x-1
(-2,-3)
-4x-2y=-12
4x+8y=-12
(6,-6)
6-2(x+3)+5x=18
x=6
My bill for the month of March was $58. I know I paid a monthly Spotify subscription of $5.95 and I bought multiple coffees at Starbucks for $6.50 each. How many times did I go to Starbucks this month? Round your decimal.
8 times
y=-2x+2
2x+y=-2
no solution
-4x+9y=9
x=3y-6
(9,5)
5x+y=9
10x-7y=-18
(1,4)
-3(x-1)+8(x-3)=6x+7-5x
x=7
You're helping your mom bake for a birthday party. You purchase 12lbs and sugar and 15lbs of flour for $9.30. A few days later, you purchase 4lbs of sugar and 10lbs of flour for $4.60. How much does a pound of flour cost?
$0.30
4x-2y=0
y=-3/2x-7
(-2,-4)
4x+y=0
x+2y=-7
(1,-4)
-4x-2y=14
-10x+7y=-25
(-1,-5)
-11+10(x+10)=4-5(2x+11)
x=7
You're trying to compare the costs of two vacation destinations. To go to Hawaii, a flight costs $250 and the airbnb is $130 each night. To travel to the Bahamas, a flight costs $130 and the airbnb is $190 per night. How many nights would you need to stay in each location for the cost to be the same for both trips?
2 nights
4x+y=0
x+2y=-7
(1,-4)
2x+y=20
6x-5y=12
(7,6)
y=4x-11
4x-y=11
infinite solutions