Graphical Representation of Linear Equation in 2 Variables

Q. If the ordered pairs (y-1, x+2) and (x-2, 2y+1) are equal, find x and y.

1. x = 2 , y = 3
2. x = 3 , y = 2
3. x = 2 , y = -1
4. x = 1 , y = $\frac{1}{3}$

Q.

The graph of the linear equation$\mathrm{x}+2\mathrm{y}=7$passes through the point $(0,7)$. Write whether the following statement is True or False? Justify your answer.

Q. Which of the following equations represents the graph below?

1. 5x+2y=14
2. 5x+8y=10
3. 5x+2y=10
4. 7x+3y=10

Q.

Given graph represents _______________ pair of linear equation having _____________solution(s).

1. Consistent, unique

2. Inconsistent , zero

3. Dependent, infinite

4. None of these

Q. ''Finding the ordered pairs " is the last step in "solving linear equations in two variables by graphical method ".

1. True
2. False

Q. $y=2x+4$ and are parallel lines.

1. $2y=4x+8$
2. $y=2$
3. $y=2x-3$

Q.

The line 6x + 5y = 9, cuts the x-axis at

1. (0, $\frac{3}{2}$)

2. ( $\frac{3}{2}$, 0)

3. (1, $\frac{3}{2}$)

4. (2, 3)

Q. Given two equations :
$3x–4y=1$ ---------- (1)
$5x–6y=7$ ---------- (2)
What has to be done so that the coefficients of $x$ are equal?

1. Multiply equation (1) by 3 and equation (2) by 5.
2. Multiply equation (1) by 5 and equation (2) by 3.
3. None of the above
4. Multiply equation (1) by 6 and equation (2) by 4.

Q.

If (2, 2) lies on 4x+5y = k, the value of k is

___

Q.

The line represented by the equation 4x+5y =10 cuts the y axis at (0, 2).

1. True

2. False

Q. What is the solution for the two lines given in the graph?

1. $x=0,y=0$
2. $x=-5,y=2$
3. $x=4,y=2$
4. $x=5,y=2$

Q. 7x+1= 6x+5 is a linear equation in 2 variables.

1. False
2. True