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
4.4
(164 Votes)
Fletcher
Professional ยท Tutor for 6 years
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
.