Question

Solve the linear equation 29 - 3 = 5 + 5. State the property that justifies your first step and why you chose it.

a) Solution: 29 - 3 = 5 + 5; Property: Subtraction Property of Equality; The first step is to subtract 3 from both sides to isolate the variable.
b) Solution: 29 - 3 = 5 + 5; Property: Addition Property of Equality; The first step is to add 3 to both sides to isolate the variable.
c) Solution: 26 = 10; Property: Division Property of Equality; The first step is to divide both sides by 2 to isolate the variable.
d) Solution: 26 = 10; Property: Multiplication Property of Equality; The first step is to multiply both sides by 2 to isolate the variable.

Answer 1

The first step is to subtract 3 from both sides of the equation to isolate the variable. Option a is correct.

Step-by-step explanation:

The correct answer is option (a): Solution: 29 - 3 = 5 + 5; Property: Subtraction Property of Equality; The first step is to subtract 3 from both sides to isolate the variable.

When solving linear equations, we want to isolate the variable on one side of the equation. In this case, we can subtract 3 from both sides of the equation to isolate the variable.

By doing so, we get 29 - 3 = 5 + 5.

This simplifies to 26 = 10.

The subtraction property of equality states that if we subtract the same number from both sides of an equation, the equality remains true.

In this case, subtracting 3 from both sides of the equation follows this property, allowing us to isolate the variable and solve the equation.

Hence, option a is correct.