Solve the following simultaneous equations 3a+5b= 26; a+ 5b =2
Answers
Step-by-step explanation:
3a+5b =26
a + 5b = 2
4a+10b = 28
÷ by 2 on both sides
2a + 5b= 14
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3a + 5b = 26 ; a + 5b = 22
=> 3a + 5b = 26 ................... equation( 1 ) .
=> a + 5b = 22....................... equation( 2 ).
subtracting equation (2) from equation (1) .
3a + 5b = 26.......(1)
–
a + 5b = 22........(2)
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2a = 4
4
=> a = _____
2
=> a = 2 .
put a = 2 in equation ( 1 ),
3(2) + 5b = 26 .
6 + 5b = 26 .
5b = 26 – 6.
5b = 20
20
b = ______
5
: . b = 4
Answer = ( a, b ) = ( 2, 4 ) is the solution .
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