From the system of linear equations was verified that the value for z is equal to 87.45.
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.
These numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0. Besides, this ratio can be simplified in decimal form.
For solving this equation, firstly, rewrite the information given:
[tex]y=\frac{5}{12} x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]
As the question gives the values for y, you can find x.
[tex]y=\frac{5}{12} x\\ \\ 15.5=\frac{5}{12} x\\ \\ 5x=12*15.5 \\ \\ x=\frac{186}{5}=37.2[/tex]
Applying x=37.2 in equation (3), you can find z.
[tex]z=50.25+x \\ \\ z=50.25+37.2\\ \\ z=87.45[/tex]
Learn more about the system of equations here:
https://brainly.com/question/384631
