Question

Paige wants to find the solution to the systems of equations below by graphing but is having trouble identifying the y-intercept and slope which is needed to graph. What can Paige do to help her start graphing to find the solution of these systems?

a) Use the elimination method.
b) Use the substitution method.
c) Find the x-intercept instead.
d) Use an online graphing tool.

Answer 1

To start graphing the system of equations, Paige can use the substitution method. This involves solving one equation for one variable and substituting that expression into the other equation to find the solution.

Step-by-step explanation:

To start graphing the system of equations, Paige can use the substitution method. The substitution method involves solving one equation for one variable and substituting that expression into the other equation. This allows Paige to solve for the remaining variable and find the solution to the system.

Here are the steps to use the substitution method:

1. Select one equation and solve it for one variable. Let's say we solve it for variable x.
2. Substitute the expression obtained in step 1 into the other equation, replacing the variable.
3. Solve the resulting equation for the remaining variable.
4. Substitute back the value of the remaining variable into one of the original equations to find the value of the other variable.
5. Finally, write the solution as an ordered pair (x, y), where x is the value of one variable and y is the value of the other variable.