The expression ax + by has value 7 when x=2 , y = 1. When x=-1,y= 1 , it has value 1 , find a and b
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Answer:
a = 2 & b = 3
Step-by-step explanation:
GIVEN
ax + by = 7-----------> [eq1]
when x=2 & y= 1 substitute in eq1
a( 2 ) + b ( 1 ) = 7
2a +b = 7 ------------>[eq2]
ax + by = 1 ----------->[ eq3]
when x = -1 & y = 1 substitute in eq3
a ( -1) + b ( 1) = 1
-a + b = 1 --------->[eq4]
from eq 2& 4
2a + b = 7
a - b = -1
___________
3a + 0 = 6
3a = 6
a = 2 [ substitute in eq4]
-2 + b = 1
b = 1 + 2
b = 3
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