Answer:
Required result: [tex]x=\frac{190}{21}[/tex]
Step-by-step explanation:
We have been given an equilateral triangle.
Angles opposite to equal sides are equal
[tex]7x-3=11y+5[/tex]
[tex]\Rightarrow 7x-11y=8[/tex] (1)
And sum of angles in a triangle is 180.
[tex]7x-3+11y+5+7x-3=180[/tex]
[tex]\Rightarrow 14x+11y-1=180[/tex]
[tex]\Rightarrow 14x+11y=182[/tex] (2)
On solving (1) and (2) by adding two equations we get:
[tex]21x=190[/tex]
[tex]x=\frac{190}{21}[/tex]
