The smaller of 2 numbers is 10 less than 4 times the greater number. The bigger number is 19 more than the smaller one.
If x is the smaller number one equation is:
a)x+y=19
b)x=19-y
c)y=x+19
d)x=y+19
I'm almost positive it is d I just want to check.
A second equation is:
a)x=4y-10
b)x=4y+10
c)x=10-4y
d)x=(10-4)y
Again I'm pretty sure the answer is c, but want to make sure.
If x is the smaller number and y is the bigger number, and y is 19 more than x, how can x be y + 19? Think again.
x is 10 less than 4y. They tell you that. So how can (c) be consistent with that? It can't. Try again.
For the first equation, the statement "The smaller of 2 numbers is 10 less than 4 times the greater number" can be represented as follows: x = 4y - 10. Since the bigger number is 19 more than the smaller one, the second equation can be written as y = x + 19.
Therefore, the correct answer for the first equation is d) x = y + 19, and the correct answer for the second equation is a) x = 4y - 10.
By substituting the values of x and y, you can verify that these equations hold true.