s-7t=-42 & s-3t=6 find the value x and y in substitution method
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Answered by
8
Answer:
I cant give the answer but i can help set it up
Step-by-step explanation:
s-7t=42 & s-3t=6
take s-3t=6
+3T = +3T - BASICALLY you add 3t to 6 and take it out of the left side
so it now is s=6+3t - now that s is equal to 6+3t you can put 6+3t into s-7t=42 inplace of s. like so 6 + 3t - 7t = 42. then just subtract 7t from 3t which is - 4t
6+ -4t = 42 now subtract 6 from 42 to get -4t = 36
now divide 36 by - 4 which = t= -9 - now that t = -9 put -9 in for t in the
s-7t=42 and solve like a normal equation.
Answered by
25
Solution :
Given s - 7t = - 42
=> s = 7t - 42 ---( 1 )
and s - 3t = 6 -----( 2 )
Substitute ( 1 ) in equation ( 2 ), we get
=> 7t - 42 - 3t = 6
=> 4t = 6 + 42
=> 4t = 48
=> t = 48/4
=> t = 12
Now ,
put t = 12 in equation ( 1 ) we get
s = 7 × 12 - 42
= 84 - 42
= 42
Therefore ,
t = 12 , s = 42
•••••
Given s - 7t = - 42
=> s = 7t - 42 ---( 1 )
and s - 3t = 6 -----( 2 )
Substitute ( 1 ) in equation ( 2 ), we get
=> 7t - 42 - 3t = 6
=> 4t = 6 + 42
=> 4t = 48
=> t = 48/4
=> t = 12
Now ,
put t = 12 in equation ( 1 ) we get
s = 7 × 12 - 42
= 84 - 42
= 42
Therefore ,
t = 12 , s = 42
•••••
karnika263:
Thank u so much for answering
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