Final answer:
To match systems of equations to their solutions, create a list of knowns, select and write down the correct equations, ensure units are correct, calculate solutions, and check if the answers are reasonable.
Step-by-step explanation:
Steps to Solve Systems of Equations
In order to match systems of equations to their solutions, we first need to solve the equations. The process typically involves:
- Making a list of what is given or can be inferred from the problem (knowns).
- Identifying the correct equations to use and writing them down.
- Ensuring that all values are in the correct units and substituting them into the equations.
- Calculating the solutions and checking the units.
- Checking your final answers to see if they make sense (does your answer seem reasonable).
This method is also applicable when dealing with puzzles and problems that require algebraic manipulations, such as solving for x in equilibrium concentrations or working through one-dimensional motion problems.
Your correct question is: Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations to their solutions. y=11-2x 2x+y=11 4x-3y=-13 x-2y=-7 x=2, y=7 x+2y=9 2x+4y=20 x=5, y=2 2x+y=12 x=9-2y x=3, y=5 y=10+x -3x+3y=30 x=7, y=3 x+3y=16 2x-y=11