Question

Write three facts and a fib about how and when to use

substitution to solve a system of equations.

Answer 1

1. Fact: Substitution involves solving one equation for a variable.
2. Fact: It's useful when one equation is already solved for a variable.
3. Fact: Effective for linear systems.

Fib: Substitution is the fastest method for all systems ..

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Answer 2

When solving a system of equations using substitution, identify the unknown and knowns, choose an equation and solve for the unknown using substitution.

Step-by-step explanation:

When solving a system of equations using substitution, there are three key steps:

Here's an example:

Consider the system of equations:
Equation 1: 2x + 3y = 10
Equation 2: x + y = 5

We want to solve for x and y. We can start by solving Equation 2 for x:
x = 5 - y

Now, substitute this expression for x into Equation 1:
2(5 - y) + 3y = 10

Simplify:
10 - 2y + 3y = 10
y = 0

Substitute y = 0 back into Equation 2 to find x:
x + 0 = 5
x = 5

So the solution to the system of equations is x = 5 and y = 0.