Converting Improper Fractions to Mixed Numbers 1
)
25
6
2)
11
3
11
3)
17
6
27
14
4)
11
LO
)
78
10
11
6)
=
6
13
7)
50
8
8)
47
8
=
9)
11
co & N/o o/
10 )
69
10
11 )
61
10
=
12)
44
8
13)
55
10
22.
14 )
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15 )
68
9
=
+

a = 11 : 4

b = 38

c = 1 for every 6

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step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form