Solve by Substitution 3x+3y=12 , 11x+5y=2

Problem

{[3*x+3*y=12],[11*x+5*y=2])

Solution

1. Simplify the first equation by dividing every term by 3 to isolate a variable more easily.

3*x+3*y=12

x+y=4

2. Isolate the variable y in the simplified equation.

y=4−x

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

11*x+5*(4−x)=2

4. Distribute the 5 into the parentheses.

11*x+20−5*x=2

5. Combine like terms on the left side.

6*x+20=2

6. Solve for x by subtracting 20 from both sides and then dividing by 6

6*x=−18

x=−3

7. Substitute the value of x back into the expression for y

y=4−(−3)

y=7

Final Answer

(x,y)=(−3,7)

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