Chapter 6.2, Problem 10P

Writing How do you know that substitution gives the answer to a system of equations? Explain.

To determine

To explain: substitution method used in the system of equation.

Explanation of Solution

Given Information: The substitution method involved to solve a system of equations.

If 2 or more equations are given with at least 2 variables then we can use method of substitution.

Calculation: First we find for 2 variables

Find the value of a variable (it may depend on another variable or may be integer value) from an equation and substitute that value of variable in another equation so that another equation becomes an equation of one variable and on solving that equation we can find the integer value of that variable.

After finding the integer value of one variable, by substituting it in another equation we can find the value of another variable in integer.

We can apply the same process for more than two variables also.