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Sagot :
The final value of "x=4" and its calculation can be defined as follows:
Given:
[tex]\bold{ 8x=4y-20} \\\\ \bold{ y=13}[/tex]
Prove:
[tex]\bold{x=4}[/tex]
Solution:
[tex]\to \bold{8x=4y-20}..........(i)\\\\\to \bold{ y=13}........................(ii)[/tex]
Putting the value of equation (ii) into the equation (i):
[tex]\to \bold{8x=4(13)-20}\\\\\to \bold{8x=52-20}\\\\\to \bold{8x=32}\\\\\to \bold{x=\frac{32}{8}}\\\\\to \bold{x= 4}\\\\[/tex]
putting the value x into the equation (i):
[tex]\to \bold{8(4)=4y-20}\\\\\to \bold{32=4y-20}\\\\\to \bold{32+20=4y}\\\\\to \bold{52=4y}\\\\\to \bold{y=\frac{54}{4}}\\\\\to \bold{ y= 13.5}[/tex]
Therefore, the value of x= 4
Learn more:
brainly.com/question/6219408
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