Solve by Substitution 2.5x+0.5y=-4 , 5x+y=-7

Problem

{[2.5*x+0.5*y=−4],[5*x+y=−7])

Solution

1. Isolate a variable in one of the equations. We can solve the second equation for y by subtracting 5*x from both sides.

y=−7−5*x

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

2.5*x+0.5*(−7−5*x)=−4

3. Distribute the 0.5 into the parentheses.

2.5*x−3.5−2.5*x=−4

4. Combine like terms on the left side of the equation.

(2.5*x−2.5*x)−3.5=−4

−3.5=−4

5. Interpret the result. Since the variables have canceled out and the resulting statement −3.5=−4 is false, the system of equations is inconsistent.

Final Answer

No solution

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