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Substitution Method Calculator

Math

Solve a system of two linear equations in two variables using the substitution method.

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-1,000,0001,000,000
-1,000,0001,000,000
-1,000,0001,000,000
-1,000,0001,000,000
-1,000,0001,000,000
-1,000,0001,000,000

x

4.0000

The value of x that satisfies both equations.

y

1.5000

The value of y that satisfies both equations.

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What is the substitution method?

The substitution method solves a system of two equations by isolating one variable in one equation, then substituting that expression into the other equation, leaving a single equation with one unknown.

What if the two equations have no solution or infinite solutions?

That happens when the two equations describe parallel or identical lines. This calculator assumes the standard case of two lines crossing at exactly one point, which is the vast majority of textbook problems.

How is this different from the elimination method calculator?

Both solve the exact same type of system and arrive at the same answer, just through a different named technique. Substitution isolates one variable and plugs it into the other equation; elimination instead scales and combines the equations to cancel a variable directly.

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