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Answer:
5 ) .
We have given value of x = 3 and have to find value of y :
a ) .
y = - 5 x + 17
= > y = - 15 + 17
= > y = 2
b ) .
y = 3 x - 22
= > y = 6 - 22
= > y = - 16
c ) .
y = 2 x - 25
= > y = 6 - 25
= > y = - 19
d ) .
y - 6 x = 39
= > y - 18 = 39
= > y = 39 + 18
= > y = 57
6 ) .
a ) .
| -81 - 17 |
= > | - 98 |
= > 98
b ) .
| 8 - 20 |
= > | - 12 |
= > 12
c ) .
| - 76 - 29 |
= > | - 105 |
= > 105
d ) .
| - 91 + 45 |
= > | - 46 |
= > 46
7 ) .
a ) .
1 / 8 = x / 32
= > 32 / 8 = x
= > x = 4
b ) .
9 / 5 = 3 / x
= > x = ( 5 × 3 ) / 9
= > x = 5 / 3
c ) .
x / 40 = 3 / 20
= > x = ( 40 × 3 ) / 20
= > x = 2 × 3
= > x = 6
8 ) .
Slope of line m = y₂ - y₁ / x₂ - x₁
= > m = - 3- 4 / 5 + 2
= > m = - 7 / 7
= > m = - 1
We have passing point ( 0 , 2 ) and slope - 1
Using slope intercept form :
y - y₁ / x - x₁ = m
= > y - 2 / x - 0 = - 1
= > y - 2 = - x
= > y = 2 - x
[ We may refer graph as well ]
9 ) .
We have given y = -5 and asked to find value of x :
a ) .
y = - x + 13
= > - 5 = - x + 13
= > x = 13 + 5
= > x = 18
b ) .
y = 2 x - 23
= > - 5 = 2 x - 23
= > 2 x = 23 - 5
= > 2 x = 18
= > x = 18 / 2
= > x = 9
c ) .
y = - 3 x - 17
= > - 5 = - 3 x - 17
= > 3 x = - 17 + 5
= > 3 x = - 12
= > x = - 12 / 3
= > x = - 4
d ) .
y = 8 x - 29
= > - 5 = 8 x - 29
= > 8 x = 29 - 5
= > 8 x = 24
= > x = 24 / 8
= > x = 3
10 ).
We have given x = - 8 and asked to find value of y :
a ) .
y = x + 92
= > y = - 8 + 92
= > y = 84
b ) .
y = 3 x - 72
= > y = - 24 - 72
= > y = - 96
c ) .
y = - 5 x - 35
= > y = 40 - 35
= > y = 5
d ) .
y = 7 x - 26
= > y = - 56 - 26
= > y = - 82