Answer:
{x,y} = {6/5,23/10}
Step-by-step explanation:
[1] 7x + 2y = 13
[2] 4x + 4y = 14 <---------- linear equations given
Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 4y = -4x + 14
[2] y = -x + 7/2
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
Answer:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area
Step-by-step explanation:
0.24/.012 Answer= 20
You just divide the .24 by .012
Complete question :
Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.
Bowl-O-Rama rents shoes for $2 and each game cost $2.50
Bowling Pinz rents shoes for $4 and each game cost $2
Answer:
Bowl-O-Rama:
y = $2 + $2.50x
Bowling pinz:
y = $4 + $2x
Step-by-step explanation:
The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.
Total cost, y
x = number of games played
Bowl-O-Rama:
y = Shoe rent + (unit rate per game * number of games)
y = $2 + ($2.50 * x)
y = $2 + $2.50x
Bowling Pinz :
y = Shoe rent + (unit rate per game * number of games)
y = $4 + ($2 * x)
y = $4 + $2x