Answer:
1) x = 3
2) x = 18
Step-by-step explanation:
1) 4(2x-3) -37 = 5(4-3x)
Solution:-
LHS
4(2x-3) -37
8x-12 - 37
8x-49
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RHS
5(4-3x)
20 - 15x
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now for x :-
8x-49=20-15x
(now since the variable must always be positive)
8x +15x = 20+49
23x = 69
x = 69/23
(ans) x = 3
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VERIFICATION
4(2x-3) -37=5(4-3x)
(putting the value of x in the equation)
4{(2×3) - 3} -37 = 5{4-(3×3)}
4{6-3} -37 = 5{ 4- 9}
4×3 -37 = 5× -5
12 -37 = -25
-25 = -25
hence verified.
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2) 1/2x +1/3x = 15
firstly, taking the LCM of the denominator 2 and 3.
LCM= 6
therefore:-
{(1/2x)3} + {(1/3x)2} = 15
3/6x + 2/6x = 15
5/6x = 15
taking 6 to the RHS
5x = 15×6
x = 90/5
x = 18
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VERIFICATION
1/2x +1/3x = 15
putting the value of x in the equation:-
{(1/2)18} + {(1/3)18} = 15
since 2 and 3 are divisible by 18:-
9+6 = 15
15= 15
hence verified.
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Author:
trixie25
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