Comparing algebraic and graphical methods for solving simultaneous equations

Maths

You can only solve simultaneous equations algebraically.

You can only solve simultaneous equations using graphs.

You can solve all simultaneous equations.

You can solve simultaneous equations using alegebraic and graphical methods.

Which of the following statements is true?

Which of the following equations can you solve simultaneously?

Solve y = 4x - 5 and 2y + 6x = 18 simultaneously using a graphical method.

Solve 2y = 6x - 10 and 3y + 6x = 15 simultaneously using an algebraic method.

Solve y + x = 5 and y = 5x + 11 simultaneously using both an algebraic method and a graphical method.

Simultaneous equations always have solutions.

Simultaneous equations can only be solved using graphs.

Simultaneous equations do not always have solutions.

Simultaneous equations never have solutions.

Which of the following equations do not have solutions when solved simultaneously?

Which of the following equations have a solution where the x  coordinate is negative?

Which of the following equations have a solution where both the coordinates are negative?

Which of the following equations have a solution where both the coordinates are positive?