The equation is 2x - 8 + 11 = x + 10
The value of x is 7
The value of RS is 6
The value of RT is 17
Solving linear equations
From the question, we are to write and solve an equation for x
From the given information,
RS = 2x - 8
ST = 11
RT = x + 10
From above, we can write that
RS + ST = RT
Thus,
2x - 8 + 11 = x + 10
Solve the equation for x
2x - 8 + 11 = x + 10
2x - x = 10 - 11 + 8
x = 7
∴ The value of x is 7
Now,
For the values of RS and RT
RS = 2x - 8
∴ RS = 2(7) - 8
RS = 14 - 8
RS = 6
and
RT = x + 10
RT = 7 + 10
RT = 17
Hence,
The equation is 2x - 8 + 11 = x + 10
The value of x is 7
The value of RS is 6
The value of RT is 17
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