Question
Solve the following system of equations graphically:
2x + 3y - 4 = 0,
3x - y + 5 = 0

Answer

$\text{2x}+\text{3y}-4=0$ $\Rightarrow\text{y}=\frac{4-\text{2x}}{3}$
x:
2
-1
y:
0
2
$\text{3x}-\text{y}+5=0$ $\Rightarrow\text{y}=\text{3x}+5$
x:
0
-1
y:
5
2

Since the two graph intersect at (-1, 2), x = -1 and y = 2

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Draw a circle of radius 3cm. Draw a tangent to the circle making an angle of 30° with a line passing through the centre.
Find the mode, median and mean for the following data:
Marks obtained
25-35
35-45
45-55
55-65
65-75
75-85
Number of students
7
31
33
17
11
1
Three equal circles, each of radius 6cm, touch one another as shown in the figune. find the area enclosed between them. $\big[\text{Take }\pi=3.14\text{ and }\sqrt{3}=1.732.\big]$
Find the median wages for the following frequencies distribution:
Wages per day (in Rs).
61-70
71-80
81-90
91-100
101-110
111-120
No. of women workers.
5
15
20
30
20
8
Short-Answer Question:
If $\alpha$ and $\beta$ are the zeroes of a polynomial $f(x) = x^2 + x - 2$, find the value of $\Big(\frac{1}{\alpha}-\frac{1}{\beta}\Big).$
Prove the following identities:
$\frac{\sec\theta+\tan\theta}{\sec\theta-\tan\theta}=(\sec\theta+\tan\theta)^2$
$=1+2\tan^2\theta+2\sec\theta\tan\theta$
If $(\text{cosec }\theta+\sin\theta)=\text{a}^3$ and $(\sec\theta-\cos\theta)=\text{b}^3,$ prove that $\big(\text{a}^2\text{b}^2\big)\big(\text{a}^2+\text{b}^2\big)=1.$
Compute the mode from the following series:
Size
45-55
55-65
65-75
75-85
85-95
95-105
105-115
Frequency
7
12
17
30
32
6
10
The following table gives the daily income of 50 workers of a factory:
Daily income (in Rs) 100-120 120-140 140-160 160-180 180-200
Number of workers 12 14 8 6 10
Find the mean, mode and median of the above data.
How many three-digit natural numbers are divisible by $9$?