Answer:
see explanation
Explanation:
using the method of simultaneous equations solved by elimination.
(5)
let x represent apples and y represent pies , then
2x + 2y = 28 → (1)
6x + 5y = 76 → (2)
multiplying (1) by - 3 and adding to (2) will eliminate x
- 6x - 6y = - 84 → (3)
add (2) and (3) term by term to eliminate x
0 - y = - 8
- y = - 8 ( multiply both sides by - 1 )
y = 8
substitute y = 8 into either of the 2 equations and solve for y
substituting into (1)
2x + 2(8) = 28
2x + 16 = 28 ( subtract 16 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
thus apple has a value of 6 and pie has a value of 8
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(6)
let x represent a chicken and y represent an onion , then
x + 3y = 73 → (1)
3x + y = 83 → (2)
multiplying (1) by - 3 and adding to (2) will eliminate x
- 3x - 9y = - 219 → (3)
add (2) and (3) term by term to eliminate x
0 - 8y = - 136
- 8y = - 136 ( divide both sides by - 8 )
y = 17
substitute y = 17 into either of the 2 equations and solve for x
substituting into (1)
x + 3(17) = 73
x + 51 = 73 ( subtract 51 from both sides )
x = 22
Thus chicken has a value of 22 and onion has a value of 17