Question

solve for x and y:
8x - 9y = 6
10x + 6y = 19​

Answer 1

Answer:

x = 3 and y = 24

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2 9

Step-by-step explanation:

8x - 9y = 6.........(1)

10x + 6y = 19..........(2)

Multiplying (1) by 2

8x × 2 - 9y × 2 = 6 × 2

16x - 18y = 12............(3)

Multiplying (2) by 3

10x × 3 + 6y × 3 = 19 × 3

30x + 18y = 57.............(4)

Adding (4) by (3),

30x + 18y = 57

+ 16x - 18y = 12

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46x + 0 = 69

46x = 69

x = 69

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46

x = 3

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2

Substituting x = 3 in (1)

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2

8x - 9y = 12

8 × 3 - 9y = 12

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2

4 × 3 - 9y = 12

12 - 9y = 12

9y = 12 + 12

9y = 24

y = 24

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9

Therefore, x = 3 and y = 24