Question

Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?

Answer 1

The value of z is equal to 50.28.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

Rational Numbers

These numbers are represented by a ratio between two integers numbers ($\frac{a}{b}$), where b$\neq$0.  Besides, this ratio can be simplified in decimal form.

For solving this equation, firstly, rewrite the information given:

                                          $y=512x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)$

As the question gives the values for y, you can find x.

                                        $y=512x\\ \\ 15.5=512x\\ \\ x=\frac{15.5}{512} =0.03$

Applying x=0.03 in the equation (3), you can find z.

                              $z=50.25+x \\ \\ z=50.25+0.03\\ \\ z=50.28$

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