Linear equations in two variables

1. What is the solution for equations below?

y = 3x + 2

y = 5x

• x=2, y=8

• x=5, y=17

• x=1, y=5

• x= -2, y= -4

The pair of equation x = – 4 and y = – 5 graphically represents lines which are

• intersecting at (-5, –4)

• intersecting at (-4, –5)

• intersecting at (5, 4)

• intersecting at (4, 5)

The graph of the linear equation 2x +3y = 6 cuts the y-axis at the point:

• (2, 0)

• (0, 3)

• (3, 0)

• (0, 2)

If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively

• 6, -1

• 2, 3

• 1,4

• 19/5, 6/5

The graph of x = -2 is a line parallel to the

• x-axis

• y-axis

• both x-axis and y-axis

• none of these

If in the equation x + 2y = 10, the value of y is 6, then the value of x will be

• -2

• 2

• 3

• -3

The pair of equations x = a and y = b graphically represents lines which are

• parallel

• intersecting at (b,a)

• coincident

• intersecting at (a,b)

Find the value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.

• 5

• 6

• 7

• 8

Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:

• 4/3

• 5/3

• 3

• 7/3

The graph of x = 3 is a line:

• Parallel to the x-axis at a distance of 3 units from the origin

• Parallel to the y-axis at a distance of 3 units from the origin

• Makes an intercept 3 on the x-axis

• Makes an intercept 3 on the y-axis