Question

rs= 4x-9, st= 19, rt=8x-14

Answer 1

The value of x is 6

How to determine the value

From the information given, we have that;

• Line RS = 4x - 9
• Line ST = 19
• Line RT = 8x - 14

It is important to note that line RT is a line with segments RS and ST and S and the line between R and T

This can be expressed as;

RS + ST = RT

substitute the values into the equation, we have;

4x - 9 + 19 = 8x - 14

collect like terms

4x - 8x = -14 + 9 - 19

subtract like terms

-4x = -24

make 'x' the subject of formula

-4x/-4 = -24/-4

x = 6

Thus, the value of x is 6

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