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Linear Equations in One Variable

Short Answer Type

21.

Solve the following equation:

$space space 15 over 4 minus 7 p equals 9$

521 Views

22.

Solve the following equation:

$space x minus 3 over 7 equals fraction numerator negative 14 over denominator 3 end fraction$

119 Views

23.

Solve the following equation:

$x plus 11 over 4 equals 13 over 2$

135 Views

24.

Solve the following equation:

$fraction numerator 3 x over denominator 4 end fraction plus 3 equals 18$

156 Views

25.

6.6x - 3.2 =10

156 Views

26.

8 - 3x = -10

319 Views

27.

space space t plus 3 over 4 equals 27 over 4

167 Views

28.

What should be subtracted from twice the rational number $fraction numerator negative 5 over denominator 3 end fraction$ to get $space 2 over 5$

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29.
The perimeter of a rectangle is 17 cm. If its width is $3 3 over 4$ cm. then find its length.

Let the length of the rectangle = 1 cm

∴ Since, width of the rectangle (b) = $3 3 over 4$ cm

and perimeter = 17 cm

 We know that perimeter of a rectangle = 2(l+b) cm

Then, $2 open parentheses 1 plus 3 3 over 4 close parentheses space equals space 17$

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or $21 plus open parentheses 2 cross times 15 over 4 close parentheses equals 17$

or $21 plus 15 over 2 equals 17$

or $21 equals 17 minus 15 over 2$ (Transposing $15 over 2$ to RHS)

or $21 equals fraction numerator 34 minus 15 over denominator 2 end fraction equals 19 over 2$
 Dividing both sides by 2, we have

 $1 equals 19 over 2 cross times 1 half equals 19 over 4 equals 4 3 over 4$