Question

14. Write a two-column proof.

Answer 1

Given:

$\bold{ 8x=4y-20} \\\\ \bold{ y=13}$

Prove:

$\bold{x=4}$

Solution:

$\to \bold{8x=4y-20}..........(i)\\\\\to \bold{ y=13}........................(ii)$

Putting the value of equation (ii) into the equation (i):

$\to \bold{8x=4(13)-20}\\\\\to \bold{8x=52-20}\\\\\to \bold{8x=32}\\\\\to \bold{x=\frac{32}{8}}\\\\\to \bold{x= 4}$

putting the value x into the equation (i):

$\to \bold{8(4)=4y-20}\\\\\to \bold{32=4y-20}\\\\\to \bold{32+20=4y}\\\\\to \bold{52=4y}\\\\\to \bold{y=\frac{54}{4}}\\\\\to \bold{ y= 13.5}$

Therefore, the value of x= 4

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