Question

Solve the following questions.
Q No 1.Check whether the given solution is correct or wrong.
a. -3 is the solution of 5x = -15
b. 4 is solution of 9x - 5 = 40
c. 5 is the solution of 2p + 3 = 15
Q. No 2. Solve the following equations by the Transposition method.
a. - 8 = 4 (m +6)
b. y - 23 = 6
c. (7+x) ÷ 6 = 9
Q. No 3. Write the following equations in statement form.
a. 9p+1 = 19
b. 34 z = 5
Q. No 4. Write the following statements as equations.
a. A number divided by 2 and then increased by 5 is 9.
b. Twice a number added to -2 gives you 16.
Q. No 5. Find two consecutive even numbers whose sum is 82.

Answer 1

Step-by-step explanation:

A. yes

B.no

C no

Q.2 (a) 4 = 5(p-2)

4 = 5p-10

4+10 = 5p

14 = 5p

\frac{14}{5\ }=\ p\

(b) -4= 5 (p-2)

-4 = 5p -10

-4+10 = 5p

6 = 5p

\frac{6}{5\ }=\ p\

(c) 16 = 4+3 (t+2)

16 = 4+ 3t +6

16 = 10 +3t

16-10 = 3t

6 = 3t

\frac{6}{3\ }=\ t\

t = 2

(d) 4+ 5(p-1) = 34

4+ 5p -5 = 34

5p -1 = 34

5p = 35

p\ =\ \frac{35}{5}

p = 7

(e) 0 = 16 +4 (m-6 )

16 = 4(m-6 )

16 = 4m - 24

16+24 = 4m

40 = 4m

\frac{40}{4}=\ m\

10 = m