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Short Answer Type

21. If

open square brackets table row cell straight x plus 2 straight y end cell cell 3 straight y end cell row cell 4 straight x end cell 2 end table close square brackets equals open square brackets table row 0 cell negative 3 end cell row 8 2 end table close square brackets

find the values of x and y.

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22. If

open square brackets table row cell straight x minus straight y end cell cell 2 straight x plus straight z end cell row cell 2 straight x minus straight y end cell cell 3 straight z plus straight w end cell end table close square brackets equals open square brackets table row cell negative 1 end cell 5 row 0 13 end table close square brackets

, find x. y. z. w

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23. Find the values of.x, y and z from the following equations :

open square brackets table row 4 3 row straight x 5 end table close square brackets equals open square brackets table row y z row 1 5 end table close square brackets

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24. Find the values of.x, y and z from the following equations :

open square brackets table row cell straight x plus straight y end cell 2 row cell 5 plus straight z end cell cell straight x space straight y end cell end table close square brackets equals open square brackets table row 6 2 row 5 8 end table close square brackets

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25. Find the values of.x, y and z from the following equations :

open square brackets table row cell straight x plus straight y plus straight z end cell row cell straight x plus straight z end cell row cell straight y plus straight z end cell end table close square brackets equals open square brackets table row 9 row 5 row 7 end table close square brackets

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26. Find the values of a. b, c and rf from the equation :

open square brackets table row cell straight s minus straight b end cell cell 2 straight a plus straight c end cell row cell 2 straight a minus straight b end cell cell 3 straight c plus straight d end cell end table close square brackets equals open square brackets table row cell negative 1 end cell 5 row 0 13 end table close square brackets

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27.

If $open square brackets table row straight x cell 3 straight x minus straight y end cell row cell 2 straight x plus straight z end cell cell 3 straight y minus straight w end cell end table close square brackets equals open square brackets table row 3 2 row 4 7 end table close square brackets$ find x, y, z w.

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Long Answer Type

28. Find ,x, y , a and b if

open square brackets table row cell 2 straight x minus 3 straight y end cell cell straight a minus straight b end cell 3 row 1 cell straight x plus 4 straight y end cell cell 3 straight a plus 4 straight b end cell end table close square brackets equals open square brackets table row 1 cell negative 2 end cell 3 row 1 6 29 end table close square brackets

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Short Answer Type

29.
If $open square brackets table row cell straight a plus straight b end cell 2 row 5 cell space straight a space straight b end cell end table close square brackets equals open square brackets table row 6 2 row 5 8 end table close square brackets$ find the values of a and b.

Here

$open square brackets table row cell straight a plus straight b end cell 2 row 5 cell space straight a space straight b end cell end table close square brackets equals open square brackets table row 6 2 row 5 8 end table close square brackets$

⇒a + b = 6 ... (1)
and a b = 8    (2)
From (1). b = 6 – a    ...(3)
∴from (2), a (6 –a) = 8 ;⇒ – a² + (6 a – 8 = 0
⇒    a – 6 a+ 8 = 0;⇒ (a – 2) (a – 4) = 0
⇒ a = 2, 4
∴ from (3). b = 6 – 2. 6–4 = 4. 2
∴we have a-=2. b = 4 : a = 4. b = 2

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