Question 7. Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determin Chapter 3: Pair of Linear Equations in Two Variable Maths Class 10 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 7. Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region. is solved by our expert teachers. You can get ncert solutions and notes for class 10 chapter 3 absolutely free. NCERT Solutions for class 10 Maths Chapter 3: Pair of Linear Equations in Two Variable is very essencial for getting good marks in CBSE Board examinations
Question 7. Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Solution:
First equation is x – y + 1 = 0
Add y and subtract 1 both side we get
X = y -1
Plug y = 0 ,1 and 2 we get
X = 0 -1 = - 1
X = 1 -1 = 0
X = 2 -1 = 1
X | -1 | 0 | 1 |
Y | 0 | 1 | 2 |
3x + 2y – 12 = 0
Subtract 3x and add 12 both side we get
2y = 12 – 3x
Divide by 2 we get
Y = 6- 1.5 x
Plug x = 0 ,2, and 4 we get
Y = 6- 1.5 *0 = 6
Y = 6- 1.5 *2 = 3
Y = 6- 1.5 *4 = 0
X | 0 | 2 | 4 |
Y | 6 | 3 | 0 |
Both lines are intersects at x = 3 and y = 2
Hence answer is x = 3 and y = 2
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