Solving by Transposing

Q.

Solve the following system of linear equations for$xandy$

$\frac{x}{a}+\frac{y}{b}=2;bx-ay=a+b$

Q. $\text{Find the value of x in the equation}\frac{x}{x-a}+\frac{x}{x-b}=2.$

1. $\frac{a}{b}$
2. $ab$
3. $\frac{2ab}{a+b}$
4. $2ab$

Q. If the sum of three consecutive multiples of 9 is 108, then the average of multiples is _______.

1. 56
2. 26
3. 46
4. 36

Q. Solve $2x+5=3(x+2)$ for $x$.

1. 1
2. -2
3. -1
4. 3

Q.

Solve the equation $\frac{3}{x+1}=\frac{6}{5x-1}$.

1. 9

2. 1

3. 2

4. 3

Q. On transposing a variable or constant from the left hand side to the right hand side of an equation, its sign does not change.

1. False
2. True

Q. $\text{Solve for x:}$

$\frac{8x+1}{3x+2}=2$

1. $\frac{3}{2}$
2. $\frac{5}{2}$
3. $\frac{5}{4}$
4. $\frac{2}{3}$

Q.

$\text{Solve the following equation for}x\text{.}$
$\frac{5x-4}{6}=2+\frac{3x}{2}$

1. - 3

2. 2

3. 4

4. - 4

Q. The value of x in 2x-2= x is 2.

1. False
2. True

Q. What must be added to $\frac{x}{y}$ to make it $\frac{y}{x}$?

1. $\frac{y^2-x^2}{yx}$
2. $\frac{y-x}{y^2{x}^2}$
3. $\frac{xy}{x+y}$
4. $\frac{x^2-y^2}{x^2+y^2}$