The standard form of a linear equation in two variables x and y is
  • ax + by + c = 0
  • ax = c
  • by = c

  • by = c


A.

ax + by + c = 0
130 Views

Write a, b, c for the equation 2y –x = 7
  •  –1, 2, –7
  • 1,2,7
  • –1, –2, –7
  • –1, –2, –7

A.

 –1, 2, –7
144 Views

Draw the graph of the equation 2x + 3y = –5 and x + y = –1 in the same graph. Find the co-ordinates of the point of intersection of the two lines.

           2x + 3y = -5
rightwards double arrow       3y = - 5 - 2x

rightwards double arrow       straight y space equals fraction numerator negative 5 minus 2 straight x over denominator 3 end fraction

Table of solutions

X

–1

2

y

–1

–3

We plot the points (–1, –1) and (1, –3) on a graph paper and join the same by a ruler to get the line which is the graph of the equation 2x + 3y = –5.

x + y = –1

⇒ y = – 1 – x

Table of solutions

X

0

1

y

–1

–2


We plot the points (0, –1) and (1, –2) on the same graph paper and join the same by a ruler to get the line which is the graph of the equation x + y = –1.
From graph, we see that the coordinates of the point of intersection of the two lines are (2, –3).


           2x + 3y = -5       3y = - 5 - 2x       Table

179 Views

Write a, b, c for the equation 2x = 5
  • 2,0, –5
  • 0, 2, –5
  • 0,0, –5
  • 0,0, –5

A.

2,0, –5
127 Views

Advertisement

If x is the number of hours a labourer is on work and y his wages in rupees then y = 4x + 3. Draw the work wages graph of this equation. From the graph, find the wages of a labourer who puts in 4 hours of work.


We have

y = 4x + 3 Table of solutions

X

0

1

y

3

7



We have
y = 4x + 3 Table of solutions

X


0


1


y


3


7

We plot

We plot the points (0, 3) and (1, 7) on a graph paper and join the same by a ruler to get the line, which is the graph of the equation y = 4 x + 3.

This gives the work wages graph of the given equation.

Now, on x-axis, take a point P(4, 0). From P draw a line parallel to y-axis intersecting the work wage graph at Q. From Q, draw a line parallel to x-axis to intersect the y-axis at R. We see that R is (0,19).

Hence, the wages of a labourer who puts in 4 hours of work is र 19.
326 Views

Advertisement
Advertisement