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3 years ago

The cost of 3 DVDs and 4 CDs is £62.00. The cost of 4 DVDs and 3 CDs is £64.00. Find the cost of each.

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

4 0

Answer:

10DVD,8CDS

Step-by-step explanation:

3x+4y=62. and. 4×+3y=64

3x=62-4y

x=(62-4y)/3

using substitution

4((62-4y)/3)+3y=64

248/3-16/3y+3y=64

82.67-5.34y+3y=64

82.67-2.34y=64

82.67-64=2.34y

18.67=2.34y

y=7.97

so,x will be 62-4y(1/3)

62-4(7.97)(1/3)

x=10.04

Gekata [30.6K]3 years ago

4 0

Answer:
x = 10; y = 8
Step-by-step explanation:
Let
DVDs = x
CDs = y
3x + 4y = 62 (1)
4x + 3y = 64 (2)
Multiply (1) by 4 and (2) by 3 to eliminate x
12x + 16y = 248 (3)
12x + 9y = 192 (4)
Subtract (4) from (3)
16y - 9y = 248 - 192
7y = 56
y = 56/7
y = 8
Substitute y = 8 into (1)
3x + 4y = 62
3x + 4(8) = 62
3x + 32 = 62
3x = 62 - 32
3x = 30
x = 30/3
x = 10
x = 10; y = 8

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