Simultaneous Equations (Easy)

Front

What is a simultaneous equation?

Back

A simultaneous equation is a set of equations with multiple variables that are solved together to find a common solution.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the substitution method in solving simultaneous equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation shows the lines of the equations on a coordinate plane, where the intersection point(s) represent the solution(s).

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

Solve the system: 2x + 3y = 12 and x - y = 1.

Back

(3, 2)

Front

What is the first step in solving simultaneous equations using the elimination method?

Back

The first step is to align the equations and manipulate them to eliminate one variable.

Front

If two lines intersect at a single point, what does that indicate about the system of equations?

Back

It indicates that the system has a unique solution.

Front

Solve the system: 3x + 4y = 10 and 6x - 2y = 12.

Back

(2, 1)

Front

What is the significance of the coefficients in a system of equations?

Back

The coefficients determine the slope and position of the lines represented by the equations.