Find the values of a and b so that the solution of the linear system is (5,2)
2 answers:
5*a+2*b=23
5*a-2*b=7:
a=(23-2b)/5
b=(7+5a)/2:
a=(23-2*(7+5a)/2)/5
5a=23-7-5a
5a+5a=23
a=23/10
b=(7+5*23/10)/2
b=(7+23/2)/2=(37/2)/2=37
Answer: a = 10 and b= 4
Step-by-step explanation:
x =5 y = 2
5a + 2b = 23-------(1)
5a - 2b = 7---------(2)
(1) -(2)
4b = 16
b = 16/4
b = 4
also, (1) + (2)
10a =30
a = 30/10
a = 3
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