Home
Class 7
MATHS
The equation 3x+ 7 = 10 has 1 as its s...

The equation `3x+ 7 = 10 ` has 1 as its solution.

Text Solution

AI Generated Solution

The correct Answer is:
To verify if 1 is indeed the solution of the equation \(3x + 7 = 10\), we will substitute \(x\) with 1 and check if both sides of the equation are equal. ### Step-by-Step Solution: 1. **Write down the original equation:** \[ 3x + 7 = 10 \] 2. **Substitute \(x\) with 1:** \[ 3(1) + 7 = 10 \] 3. **Calculate the left-hand side:** \[ 3 \times 1 = 3 \] \[ 3 + 7 = 10 \] 4. **Now, compare both sides of the equation:** \[ 10 = 10 \] Since both sides of the equation are equal, we can conclude that the solution \(x = 1\) is correct. ### Final Answer: Yes, the equation \(3x + 7 = 10\) has 1 as its solution. ---
Promotional Banner

Topper's Solved these Questions

  • SIMPLE EQUATIONS

    NCERT EXEMPLAR|Exercise EXERCISE ( Choose the correct answer) (Objective question) |18 Videos
  • SIMPLE EQUATIONS

    NCERT EXEMPLAR|Exercise EXERCISE(Fill in the blanks )|50 Videos
  • RATIONAL NUMBERS

    NCERT EXEMPLAR|Exercise Application|2 Videos
  • TRIANGLES

    NCERT EXEMPLAR|Exercise EXERCISE TRUE OR FALSE|69 Videos

Similar Questions

Explore conceptually related problems

x + 7 = 10 has the solution _________.

The linear equation 7x+9y=8 has a unique solutions

The equation 3 cos x + 4 sin x = 6 has …….. Solution

prove that the equation k cos x-3sin x=k+1 has a solution for x' for k in(-oo,4]

If the equation k cos x-3sin x=k+1 has a solution for x then

Show that the system of equations 3x - 5y = 7, 6x - 10 y = 3 . has no solution.

The number of integral values of k for which the equation 7cos x+5sin x=2k+1 has a solution is (1)4(2)8(3)10(4)12

Consider the following statements : 1. The equation 1990x-173y=11 has no solution in integers for x and y. 2. The equation 3x-12y=7 has no solution in integers for x and y Which of the above statemets is/are correct?

The equation 3cos ecx+4sin x=6has(1) finite solution (2) infilite solution (3) one solution (4) no solution

Value of k for which system of equations kx + 2y = 5, 3x + y =1 has unique solution is