How do I solve a linear equation with 2 variables?

sanskritiraj111

New member
Step 1: Write down the equation: ax + by = c
Step 2: Rearrange the equation: Solve for one variable in terms of the other, if possible. For example, if you can isolate x, the equation will become x = (c - by) / a. If you can isolate y, the equation will be y = (c - ax) / b.
Step 3: Substitute the expression for the isolated variable: Take the expression you found in step 2 and substitute it back into the original equation. This will give you a new equation with only one variable.
Step 4: Solve the resulting equation: Solve the new equation to find the value of the remaining variable.
Step 5: Substitute the value back: Once you have the value of one variable, substitute it back into one of the original equations to solve for the other variable.
Step 6: Check your solution: Substitute the values you found for x and y back into the original equation and verify that both sides are equal.
 
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