Solve by Substitution x+3y=15 , x+y=5

Problem

{[x+3*y=15],[x+y=5])

Solution

1. Isolate a variable in one of the equations. We can solve the second equation for x by subtracting y from both sides.

x=5−y

2. Substitute the expression for x into the first equation.

(5−y)+3*y=15

3. Combine like terms to simplify the equation.

5+2*y=15

4. Solve for y by subtracting 5 from both sides and then dividing by 2.

2*y=10

y=5

5. Substitute the value of y back into the expression for x to find the value of x

x=5−5

x=0

Final Answer

(x,y)=(0,5)

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