Answer:cost for basket ball= $8 and
cost of baseball = $2
Step-by-step explanation:
Step 1
Let the cost of basket ball be represented as x
and cost of baseball = y such that
Four basketballs and six baseballs cost $44 will be expressed as
4x+ 6y= 44 --- eqn 1 also
Five basketballs and four baseballs costs $48 will be expressed as
5x+ 4y= 48--- eqn 2
Step 2
Having obtained two expressions we can now sole
4x+ 6y= 44 --- eqn 1
5x+ 4y= 48--- eqn 2
multiplying eqn 1 by 5 and eqn 2 by 4
20x+ 30y =220---- eqn 3
20x+ 16y=192-----eqn 4
subtracting equation 4 from 3 we now have
14y=28
y= 28/14
y=2 = $2
from equation 1
4x+ 6y= 44, putting the value of y=7 to find x
4x+ 6(2)= 44
4x+12= 44
4x= 44-12
4x=32
x= 32/4
x=8=$8
cost for basket ball= $8 and
cost of baseball = $2
