Solve by Substitution 4x+11=-6y , 6x+9y=-3

Problem

{[4*x+11=−6*y],[6*x+9*y=−3])

Solution

1. Isolate a variable in the first equation. We can solve for y by dividing both sides of 4*x+11=−6*y by −6

y=(4*x+11)/(−6)

y=−2/3*x−11/6

2. Substitute the expression for y into the second equation, 6*x+9*y=−3

6*x+9*(−2/3*x−11/6)=−3

3. Distribute the 9 into the parentheses.

6*x−6*x−33/2=−3

4. Simplify the equation by combining the x terms.

0*x−33/2=−3

−16.5/1=−3

5. Analyze the resulting statement. Since −33/2=−3 is a false statement and the variables have been eliminated, the system of equations is inconsistent.

Final Answer

No solution

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