a =11
b = -1
Step-by-step explanation:
We can solve the system of linear equations by elimination method.
a + b = 10 -------------(I)
a - b = 12 -------------(II)
When we can add both equations (I) &(II), 'b' will be eliminated, and we can find the value of 'a'.
a + b = 10
a - b = 12 {Add}
2a = 22
Divide both sides by 2,
a = 22 ÷ 2
[tex]\boxed{\bf a = 11}[/tex]
Substitute a = 11 in equation (I) and we can get the value of 'b',
11 + b = 10
b = 10 - 11
[tex]\boxed{\bf b = -1}[/tex]