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2. Verify Whether X=-3 Is a Solution of the Linear Equation 10x+7=13-5x Or. Not. 3. If the Sum of Two Consecutive Numbers Is 67, Then

Question

2. Verify whether x=-3 is a solution of the linear equation 10x+7=13-5x or. not. 3. If the sum of two consecutive numbers is 67, then find the numbers.

Solution

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Answer

### is not a solution to the equation . The two consecutive numbers are 33 and 34.

Explanation

## Step 1: Substitute and Simplify### Substitute into the equation . simplifies to , which further simplifies to .## Step 2: Check Equality### Since , the equation is not true. Therefore, is not a solution.## Step 3: Define Variables### Let the two consecutive numbers be and .## Step 4: Set up the Equation### The sum of the two consecutive numbers is 67, so .## Step 5: Solve for n### Simplify the equation to . Subtract 1 from both sides: . Divide both sides by 2: .## Step 6: Find the Second Number### The second number is .