Solve by Substitution 2x+3y=10 , 4x+6y=9

Problem

{[2*x+3*y=10],[4*x+6*y=9])

Solution

1. Solve the first equation for x by subtracting 3*y from both sides and dividing by 2

2*x=10−3*y

x=5−3/2*y

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

4*(5−3/2*y)+6*y=9

3. Distribute the 4 into the parentheses.

20−6*y+6*y=9

4. Simplify the equation by combining the y terms.

20+0*y=9

20=9

5. Interpret the result. Since 20 = 9$ is a false statement and all variables have been eliminated, the system of equations is inconsistent.

Final Answer

No solution

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