Solve each system by the substitution method. Check each solution. (1)/(4) x-(1)/(5) y=9

step 1 Okay, so if we use our second equation for our substitution, so this is telling us that y is equ

Solve each system by the substitution method. Check each...

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Key Concepts

System of Linear Equations

A system of linear equations consists of two or more equations that involve the same set of variables. The goal is to find values for the variables that satisfy all equations simultaneously. Understanding how these equations interact is fundamental to finding a common solution set that works for all equations in the system.

Substitution Method

The substitution method is a technique used to solve systems of equations by solving one of the equations for one variable and then substituting that expression into the other equation(s). This reduces the system to a single equation with one unknown, making it easier to solve, and is especially effective when one equation is already solved for a variable.

Verification of Solutions

Verification of solutions involves substituting the obtained values back into the original equations to ensure that they satisfy every equation in the system. This step is crucial as it confirms the accuracy of the solution and helps identify any potential errors made during the solving process.

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