Let the fare of adults be 'x' and that of children be 'y'
Equation Formation.
3 x + 4 y = 87................ equation (i)
2 x + 3 y = 62................ equation (ii)
3 x +4 y = 87 ..............×2
2 x +3 y = 62...............×3
6 x + 8 y = 174
6 x + 9 y = 186
y = 12
2 x = 62 - 3 y
2 x = 62 - 36
2 x = 26
x =13
Answer = adults ⇒ $13
children ⇒$ 12
2. a
3. a
4. b
5. c
6. b
7. b
8. b
9. a
10. c
hope this helps
Answer:$99.25
Step-by-step explanation:
Each by a sweatshirt including Amanda 3x25.50=$76.50 ,2 of them by popcorn so 2x4.75=$9.50, Amanda buys a hotdog 1x3.50=3.50, One friend bought nachos so 1x3.00=$3.00 and then Each girl bought a drink so 3x2.25=$6.75.
You have to add up all the totals which is 76.50+9.50+3.50+3.00+6.75 once you add those you get $99.25 that’s the total amount spent at the game.
System of Linear Equations entered :
[1] y - 2x/3 = -1
[2] y + x = 4
// To remove fractions, multiply equations by their respective LCD
Multiply equation [1] by 3
// Equations now take the shape:
[1] 3y - 2x = -3
[2] y + x = 4
Graphic Representation of the Equations :
-2x + 3y = -3 x + y = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -y + 4
// Plug this in for variable x in equation [1]
[1] 3y - 2•(-y +4) = -3
[1] 5y = 5
// Solve equation [1] for the variable y
[1] 5y = 5
[1] y = 1
// By now we know this much :
y = 1
x = -y+4
// Use the y value to solve for x
x = -(1)+4 = 3
I hope this help you
cot = cos/sin = x/y In order for cot to be negative, then the "x" and "y" are opposite signs (-x, +y) or (+x, -y). Which quadrants do these fall in?
(-x, +y) is in Quadrant 2
(+x, -y) is in Quadrant 4
Answer: 2, 4