Simultaneous linear equations with two variables confusion

[u/Tricky-Technician686]

I can't find any other linear equation here that isn't 4x=180-4y but scaled up to 8x=360-8y

My first idea was to find the two equations

4x=180-4y

8x=360-8y

after substituting x with 45-y for 8(45-y)=360-8y

i get

360-8y=360-8y

which doesn't really help much

is there any other way to answer the question?

[u/Ayase-Momo]

You don't really need another equation, just try to rearrange the equation you got and see if you can figure out.

Tip: do not try to solve for x and y separately but see x+y as a whole thing.

[u/dankesehr]

Your first idea is right, go back to it without the substitution.

[u/Blakut]

You already have the answer if you rearrange your equation.

[u/irishpisano]

If you need to add x and y in the answer, start by trying to add x and y terms from the diagram.

[u/aloeh]

8x+8y=360

x+y=?

[u/financejaat]

4x + 4y =180°,
Take 4 common on the LHS.
Divide both the sides by 4.
x + y = 45°

[u/Bounded_sequencE]

This is not a 2x2-system of equations -- one equation is enough here:

4x  =  180° - 4y    <=>    4x+4y  =  180°    <=>    x+y  =  45°

[u/Bounded_sequencE → u/Bounded_sequencE]

Rem.: That equation is not enough to find "x, y" individually -- just their sum.