Solve by Substitution -2x+3y=25 , -4x+6y=50

Problem

{[−2*x+3*y=25],[−4*x+6*y=50])

Solution

1. Solve the first equation for x by isolating the variable.

−2*x=25−3*y

x=(25−3*y)/(−2)

x=−12.5+1.5*y

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

−4*(−12.5+1.5*y)+6*y=50

3. Distribute the constant into the parentheses.

50−6*y+6*y=50

4. Simplify the equation by combining like terms.

50=50

5. Interpret the result, noting that the statement is an identity which indicates the two equations represent the same line.

Final Answer

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