Answer:
2b + 3n = £15.50
4b + 1n = £13.50
2 ( 2b + 3n = 15.50 )
4b + 6n = 31.00
4b + 6n = 31.00
- 4b + 1n = 15.50
5n = 15.50
n = 3.1
subtitue n in to the equation
2b + 9.3 = £15.50
2b = £6.20
b = 3.10p
Step-by-step explanation:
both the bracelets and necklace cost £3.10
The cost of one bracelet is $2.50
b = cost of the bracelet
n = costs of necklace
⇒ 2b + 3n = 15.50
⇒ 4b+1n = 13.50
Multiply the first equation by -2
⇒ -4b - 6n = -31
⇒ 4b + n = 13.50
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-5n = -17.50
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Divide each side by -5
⇒ -5n / -5 = -17.5 / -5
⇒ n = 3.50
Now we can find b
⇒ 4b + n = 13.50
⇒ 4b + 3.50 = 13.50
⇒ 4b + 3.50 - 3.50 = 13.50 -3.50
⇒ 4b = 10
Divide by 4
⇒ 4b / 4 = 10/4
⇒ b = 2.50
The cost of one bracelet is $2.50.
A system of equations comprises two or more equations and seeks common solutions to the equations.
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