Advertisements
Advertisements
Question
Solve the following equation and verify the answer:
5(x-1) +2(x+3) + 6 = 0
Solution
5(x-1) +2(x+3) + 6 = 0
⇒ 5x -5 +2x +6 +6 = 0 (Expanding within the brackets)
⇒ 7x +7 = 0
⇒ x +1 = 0 (Dividing by 7)
⇒ x = -1
Verification:
Putting x = -1 in the L.H.S.:
L.H.S.: 5(-1 -1) + 2(-1 + 3) + 6
= 5(-2) + 2(2) + 6
= -10 + 4 + 6 = 0 = R.H.S.
Hence, verified.
APPEARS IN
RELATED QUESTIONS
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| x + 3 = 0 | x = -3 |
Write the given equation in statement form:
3p + 4 = 25
Set up an equation in the following case:
In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180 degrees.)
Write a statement for the equation, given below:
11 + 3x = 17
Solve the following equation and verify the answer:
`2x-1/2=3`
Solve: 4x + 9 = 17.
If x = 1, y = 2 and z = 3 then (x2 + y2 + z2) = ?
One-sixth of a number when subtracted from the number itself gives 25. The number is _______
In triangle ABC, the measure of ∠B is two-third of the measure of ∠A. The measure of ∠C is 20° more than the measure of ∠A. Find the measures of the three angles.
Change the following statements using expressions into statements in ordinary language.
(For example, Given Salim scores r runs in a cricket match, Nalin scores (r + 15) runs. In ordinary language − Nalin scores 15 runs more than Salim.)
A notebook costs ₹ p. A book costs ₹ 3 p.
