Question

1. Express the following linear equation in the form ax +by+ c = 0 and indicate the
value of a, b and c in 2y - 2 = 0 and V7y= 2x.
2. Write the equation of x-axis and y-axis
Y=3
=2
3. If x= -1 and y = 2 is a solution of kx + 3y = 7, find the value of k.
4. How many linear equations in two variables can pass through the point (0,3)?
5. Check which of the following are solution of the equation x - 2y = 5 and which are
not: (2,0), (1,-2)
6. Write the four solutions of 2x + 3y = 8 and 7x + y = 9.
7. Give the geometric representations of 3x + 4 = 0 as an equation in one variable and in
two variables.
8. Draw the graph of the equation 3x - 2y = 12. From the graph, find the coordinates of
the point when the graph line meets the x-axis and y-axis.
9. In countries like USA and Canada temperature is measured in Fahrenheit, whereas in
countries like India, is measured in Celsius.
(1) Write relationship between Celsius and Fahrenheit.
(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?
(iii) If the temperature is 95°F, what is the temperature in Celcius?
(iv) Draw the graph of the linear equation above using celcius for x-axis and
Fahrenheit for y-axis.
If the temperature is 0°C, what is the temperature in Fahrenheit and if the
temperature is 0°F, what is the temperature in Celcius?
(vi) Is there a temperature which is numerically the same in both Fahrenheit and
Celsius? If yes, find it.
(vii) If someone in your care is having temperature 90°F, what you are expected to do
so? Will you get panicky and nervous?
10. Draw the graph of two lines whose equations are 3x - 2y +6=0 and x + 2y = 6 on the
same graph paper. Also, find the coordinates of the point where the lines intersect
each other.
11. Yamini and Fatima together contributed Rs 100 towards Prime Minister's Relief Fund
to help victims. Write a linear equation & draw its graph.
12. Check which of the following are solutions of equation x - 2y =4 & which are not:
(12,472), (4,0) and (1,1).
13. Solve for x: 3*+2 + 4(x+1) = 2 (2x+1)
3​

Answer 1

Answer:

1)2y-2=0:- a=2,b=-2,c=0;

V7y=2x:- a=-2,b=V7,c=0

Step-by-step explanation:

V7y=2x:-

putting in standard form

ax+by+c=0

-2x+V7y+0=0....the value of c is not given

therefore a=-2,b=V7,c=0

Answer 2

(2x−1)(x−3)=(x+5)(x−1)

$= > 2 {x}^{2} - 6x - x + 3 = {x}^{2} - x + 5x - 5$

$= > {x}^{2} - 11x + 8 = 0$

$= > x = \frac{ - (11) + - \sqrt{( - {11)}^{2} - 4(1)(8)} }{2(1)}$

$x = \frac{11 + - \sqrt{81} }{2}$