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1 year ago

4 (hx - 1) -3 (x +h) ≡ 5 (x + k) Work out the value of h and k H and k are integer constants

Mathematics

1 answer:

vladimir1956 [14]1 year ago

6 0

Answer:

4hx - 8x - 3h - 4

k = ------------------------

8x + 5k + 4

h = ------------------------

4x - 3

Step-by-step explanation:

4 (hx - 1) - 3 (x + h) = 5 (x + k)

4hx - 4 - 3 (x + h) = 5 (x + k)

4hx - 4 - 3x - 3h = 5 (x + k)

4hx - 4 - 3x - 3h = 5x + 5k add 3h both sides

4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h simplify

4hx - 4 - 3x = 5x + 5k + 3h add 4 both sides

4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4 simplify

4hx - 3x = 5x + 5k + 3h + 4 subtract 5x from both sides

4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x simplify

4hx - 8x = 5k + 3h + 4

4hx - 8x - 3h - 4 = 5k

4hx - 8x - 3h - 4

k = ------------------------

<u>solving for h;</u>

4hx - 3h = 8x + 5k + 4

h(4x - 3) = 8x + 5k + 4

8x + 5k + 4

h = ------------------------

4x - 3

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