Solve the following systems of equations graphically:
$3 x+y+1=0$
$2 x-3 y+8=0$
The given equations are
$3 x+y+1=0 \quad \ldots \ldots .(i)$
$2 x-3 y+8=0 \quad \ldots \ldots \ldots($ ii $)$
Putting $x=0$ in equation $(i)$, we get:
$\Rightarrow 3 \times 0+y=-1$
$\Rightarrow y=-1$
$x=0, \quad y=-1$
Putting $y=0$ in equation $(i,$, we get:
$\Rightarrow 3 x+0=-1$
$\Rightarrow x=-1 / 3$
$x=-1 / 3, \quad y=0$
Use the following table to draw the graph.
Draw the graph by plotting the two points $A(0,-1)$ and $B(-1 / 3,0)$ from table.
Graph of the equation. (ii):
$2 x-3 y=-8 \quad$......(ii)
Putting $x=0$ in equation (ii) we ge
$\Rightarrow 2 \times 0-3 y=-8$
$\Rightarrow y=8 / 3$
$x=0, \quad y=8 / 3$
Putting $y=0$ in equation $(i i)$, we get
$\Rightarrow 2 x-3 \times 0=-8$
$\Rightarrow x=-4$
$x=-4, \quad y=0$
Use the following table to draw the graph.
Draw the graph by plotting the two points $C(0,8 / 3)$ and $D(-4,0)$ from table.
The two lines intersect at points $\mathrm{P}(-1,2)$.
Hence $x=-1, \quad y=2$ is the solution.
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,