Solving Equations Having the Variable on Both Sides

Q.

Solve:(a/ax-1)+(b/bx-1)=a+b

Q.

Solve for x

4^x-1 * (0.5)^3-2x=(1/8)^x

Q.

Question:- If 25 ^x-1 = 5 ^2x-1 - 100, then the value of x is_____________.

A) 3

B) 2

C) 4

D) 1

Q.

Solve for x

( ³√4)^2x+1/2 = 1/32

Q. If x³ − 3x² + 3x − 7 = (x + 1) (ax² + bx + c), then a + b + c =

(a) 4

(b) 12

(c) −10

(d) 3

Q.

Which of the following equations satisfies the values of x and y in the given table?

1. y= x− 2

2. x= y+ 3

3. y= x+ 2

4. x= y− 3

Q.

Question 7
If p(x) = x + 3 , then p(x) + p(-x) is equal to

A) 3
B) 2x
C) 0
D) 6

Q. Solve the following equations for x:

(i) $2^{2x}-2^{x+3}+2^4=0$

(ii) $3^{2x+4}+1=2.3^{x+2}$

Q.

Which of these is not a solution of 2x+ 3y = 18?

1. (0, 6)

2. (3, 4)

3. (6, 2)

4. (4, 3)

Q.

If f(t)=4t²-3t+6, find f(4)

Q.

If f(x) satisfies f(x+y) = f(x) + f(y) and f(5) = 15 then find f(3)?

1. 15

2. 9

3. 6

4. 21

Q. (iii) 2x − 3y − 3 = 7; 4x − 5y − 5 = 10

Q.

If ax + by = 3 , bx - ay = 4 and x^2 + y^2 , then the value of x^2 + y^2

Q. Solve : 3power x power 2 :3power x=9:1

Q.

If y = 2x + 3 and y = 5, then what is the value of x?

1. 1

2. -1

3. 13

4. 0

Q. Solve the following equations (x $\ge$ 0)

$\frac{x^2-5x+12}{5x-12}=\frac{x^2-x-4}{x+4}$

Q. (viii) 3y − 2x = 9; 2x + 5y = 15

Q. (x) 3a − 2b = −10; 2a + 3b = 2

Q.

Find x satisfying each of the following equations:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Q. (iii) 4m + 3n = 18; 3m $-$ 2n = 5

Q. (vi) 2x − 3y = 14; 5x + 2y = 16

Q. (v) 5x + 2y = 13; 4x − 3y = 15

Q. 2x+1. 5y-3.
--------- +. -------. =12
7. 3


3x+2. 4y+3
-------- - ---------- =13
2. 9

Q. 3x $-$ 2y = 4; 6x + 7y = 19

Q. (viii) $\frac{x}{2}+3y=11;x+5y=20$

Q. Solve the following equations for x:

(i)

(ii)

Q. 2x $-$ y $-$ 3 = 0; 4x $-$ y $-$ 5 = 0