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Nostrana [21]
2 years ago
13

If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?

Mathematics
1 answer:
Reika [66]2 years ago
7 0

Answer:

10

Step-by-step explanation:

2x - 3y = 24 ------ (1)

3x + 4y = 2 ------ (2)

(1) × 4,

8x - 12y = 96 ------ (3)

(2) × 3,

9x + 12y = 6 ------ (4)

(3) + (4)

17x = 96 + 6

= 102

x = 102 ÷ 17

= 6

Sub x = 6 into (2),

3(6) + 4y = 2

18 + 4y = 2

4y = 2 - 18

= -16

y = -16 ÷ 4

= -4

Therefore,

x - y = 6 - (-4)

= 6 + 4

= 10

<em>i</em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em> </em><em>!</em><em>!</em>

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