Solve by Substitution x+y=0 , 3x+y=4

Problem

{[x+y=0],[3*x+y=4])

Solution

1. Isolate a variable in the first equation. We can solve for y in terms of x

x+y=0

y=−x

2. Substitute the expression for y into the second equation.

3*x+(−x)=4

3. Solve for x by combining like terms.

2*x=4

x=2

4. Substitute the value of x back into the expression for y to find the second coordinate.

y=−(2)

y=−2

Final Answer

(x,y)=(2,−2)

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