Answer:
5 weeks
Explanation:
the two linear equations are:
sibling (A) and sibling (B)
y = 10x + 25 and y = 5x + 50
where y = mx + c
and x represents the number of weeks
after how many weeks will their savings accounts have the same amount of money i.e. for which value of x will both equations have the same value
inserting the value of x in both equations:
for x = 2.5 A = 50 and B = 62.5
for x = 5 A = 75 and B = 75
for x = 15 A = 175 and B = 125
for x = 75 A = 775 and B = 425
thus, after 5 weeks both siblings A and B will have the same amount of money in their accounts