Question

Find the values of a and b so that the solution of the linear system is (5,2)

Answer 1

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 2

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