Chapter 6, Problem 5SGR

To determine

To state: The given statement is true or false. If false replace underlined term to make a true sentence.

Answer to Problem 5SGR

The given statement is true.

Explanation of Solution

Given information:

The given statement:

Substitution involves substituting an expression from one equation for a variable in the other.

Concept used:

The substitution makes an equation consisting only one variable.

Suppose $x+2y=7$ and $2x-y=4$ are two given equation. From equation $2x-y=4$ , we have $y=2x-4$ . Now, substituting expression for y , $y=2x-4$ in equation $x+2y=7$ , we get $x+2\left(2x-4\right)=7$ that is an equation in single variable “ x ” that can be solved easily.

Thus, the given statement is true.