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.

## Step 1: Substitute and Simplify<br />### Substitute $x = -3$ into the equation $10x + 7 = 13 - 5x$. $10(-3) + 7 = 13 - 5(-3)$ simplifies to $-30 + 7 = 13 + 15$, which further simplifies to $-23 = 28$.<br /><br />## Step 2: Check Equality<br />### Since $-23 \neq 28$, the equation is not true. Therefore, $x = -3$ is not a solution.<br /><br />## Step 3: Define Variables<br />### Let the two consecutive numbers be $n$ and $n+1$.<br /><br />## Step 4: Set up the Equation<br />### The sum of the two consecutive numbers is 67, so $n + (n+1) = 67$.<br /><br />## Step 5: Solve for n<br />### Simplify the equation to $2n + 1 = 67$. Subtract 1 from both sides: $2n = 66$. Divide both sides by 2: $n = 33$.<br /><br />## Step 6: Find the Second Number<br />### The second number is $n+1 = 33+1 = 34$.