Solving systems of equations by substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean to solve a system of equations by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

Front

What is an infinite solution in a system of equations?

Back

It occurs when the equations represent the same line, resulting in countless solutions.

Front

What is a no solution in a system of equations?

Back

It occurs when the equations represent parallel lines that never intersect.

Front

What does the equation 2 = 2 signify in the context of systems of equations?

Back

It indicates that the equations are equivalent, leading to infinite solutions.

Front

What does the equation 4 = 7 signify in the context of systems of equations?

Back

It indicates a contradiction, leading to no solution.

Front

Solve the system of equations: y = 2x + 3 and y = -x + 1.

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(1, 5)