Question

Solve system by substitution calculator.

A) Linear Equation Solver
B) Quadratic Equation Solver
C) System of Equations Solver
D) Substitution Method Calculator

Answer 1

To solve a system of equations by substitution, isolate one variable in one of the equations, substitute this expression into the other equation, and solve for the remaining variable. These solutions can often be verified using a calculator, such as the TI-83, 83+, or 84 models.

Step-by-step explanation:

To solve a system of equations by substitution, we often aim to isolate one variable in one equation and then substitute that expression into the other equation. This question suggests the use of a calculator or computer to assist with the solution, implying the equations may be more complex or time-consuming to solve by hand.

Example

Here are the steps you would take to solve the system using substitution:

1. Identify the simpler equation to manipulate. For instance, if you have y = x + 4 and y = 100x + 2,000, the first equation is simpler to manipulate.
2. Solve the simpler equation for one variable (if it's not already), so now we have y = x + 4.
3. Substitute this expression for y into the other equation, so now we replace y in y = 100x + 2,000 with x + 4 to get x + 4 = 100x + 2,000.
4. Solve the resulting equation for x.
5. Use this value of x to find y using one of the original equations.

To check your work, substitute both values back into the original equations.