+912 Drag a reason to each box to complete this proof.
If 5x − 4 +13x = 5 , then x = 1/2 .
Statement Reason
5x − 4 + 13x = 5 Given
18x − 4 = 5 ( )
18x = 9 ( )
x = 1/2 ( )
Options: Division property of Equality, Combine like terms., Substitution Property of Equality, Addition Property of Equality, Symmetric Property of Equality
+2446 | \(18x-4=5\) | Combine like terms. In this step, the solver combined the \(5x\) and \(13x\) from the previous step. Like terms have to be both the same variable raised to the same power. This is indeed the case here. |
| \(18x=9\) | Addition Property of Equality. This step added 4 to both sides, which is allowed based on the addition property. |
| \(x=\frac{1}{2}\) | Division Property of Equality. This step divided 18 from both sides. This is a valid operation because of the division property of equality. |
+2446 | \(18x-4=5\) | Combine like terms. In this step, the solver combined the \(5x\) and \(13x\) from the previous step. Like terms have to be both the same variable raised to the same power. This is indeed the case here. |
| \(18x=9\) | Addition Property of Equality. This step added 4 to both sides, which is allowed based on the addition property. |
| \(x=\frac{1}{2}\) | Division Property of Equality. This step divided 18 from both sides. This is a valid operation because of the division property of equality. |
