Match the correct solution to each system of equations graphed below. *Not all answers will be used. Place the correct solution beneath the graph it matches to.(4 points
It seems that the graphs are missing and cannot be seen to match the correct solution. Please provide the graphs or describe them so that I can assist you with matching the correct solutions.
I'm sorry, but I cannot see any graphs or solutions provided in your question. Could you please upload or describe the graphs and solutions you are referring to?
I apologize, but I am unable to view or access any graphs or images in order to match solutions to systems of equations. However, I can explain how you can find the correct solution for each system of equations using algebraic methods.
To solve a system of equations, you have to find the values of the variables that satisfy both equations simultaneously. There are different methods you can use, such as substitution, elimination, or graphing.
1. Substitution Method:
- Solve one equation for one variable in terms of the other variable.
- Substitute the expression found into the other equation.
- Solve the resulting equation to find one variable's value.
- Substitute this value back into either of the original equations to find the other variable's value.
- Write the solution as an ordered pair (x, y).
2. Elimination Method:
- Multiply one or both equations by constants to make the coefficients of one of the variables equal in magnitude but opposite in sign.
- Add or subtract the equations to eliminate one of the variables.
- Solve the resulting equation to find one variable's value.
- Substitute this value back into either of the original equations to find the other variable's value.
- Write the solution as an ordered pair (x, y).
3. Graphing Method:
- Graph both equations on the same coordinate plane.
- Identify the point where the two graphs intersect.
- Read the coordinates of the point of intersection, which represent the solution to the system of equations.
Once you have followed one of these methods to find the solution for each system of equations, you can match the correct solution to each system given.