How would you do this?
Rs=8y
St=4y+8
RT=115y-9
a.Find the value of y
b. Find rs, st, rt
RS+ST=RT
8y+4y+8 = 115y-9
103y = -17
y = -17/103
now plug that into the expressions for the segments
How'd you get that? I was trying the problem and couldn't get it
I'm sorry rt=15 not 115
I got y=-17 Am I right?
well, let's see:
8y+4y+8 = 15y-9
3y = 17
y = 17/3
right off, you should have realized that a negative value for y makes no sense, since we are dealing with line segments, which have positive lengths.
I'm still bothered by the fraction answer. A simple exercise like this usually has a nice integer result.
To find the value of y in the given equations, you can solve the system of equations.
Given:
Rs = 8y
St = 4y + 8
RT = 115y - 9
a. Find the value of y:
To find the value of y, we can equate any two of the given equations and then solve for y.
Equating Rs and St:
Rs = St
8y = 4y + 8
Subtracting 4y from both sides:
4y = 8
Dividing by 4 on both sides:
y = 2
Therefore, the value of y is 2.
b. Find Rs, St, RT:
Now that we know the value of y, we can substitute it back into the given equations to find the respective values.
Substituting y = 2 into the equations:
Rs = 8y = 8 * 2 = 16
St = 4y + 8 = 4 * 2 + 8 = 16
RT = 115y - 9 = 115 * 2 - 9 = 221
Therefore, Rs = 16, St = 16, and RT = 221.