Solve the equations by graphical method :
X + 3y = 12 ; 3x – y = 6.
Answers
Step-by-step explanation:
The given pair can be written as
x+3y−6=0 and 2x−3y−12=0
Herea1=1,b1=3,c1=−6.eq1anda2=2,b2=−3,c2=−12eq2
∴a2a1=21,b2b1=−63=−21
Hence a2a1=b2b1
Thus the given pair of equation is consistent.
To solve them graphically we have
Consider x+3y−6=0
x=0⟹y=2
x=3⟹y=1
Join the points by drawing line.
Consider
Answer:
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Question
Solve for x and y sing ellimination method
3x+y =12
x – 3y =-6
Answer
The above question is from the chapter 'Pair of Linear Equations in Two Variables'.
There are two ways to solve a pair of linear equations in two variables:
1) Graphical Method
2) Algebraic Method:
a. Substitution Method
b. Elimination Method
c. Cross-Multiplication Method
Given equations:
3x + y = 12 --- (1)
x - 3y = -6 --- (2)
To find: Values of x and y
Solution:
Elimination Method is a method to eliminate one variable by equating that coefficient to obtain the value of second variable. This value will help in obtaining the first variable.
Multiplying equation 2 by 3 on both sides, we get
3x - 9y = -18 --- (3)
Equation 3 - Equation 1
3x - 9y = -18
3x + y = +12
- - -
-----------------------
-10y = - 30
y = 3
Put y = 3 in equation 1,
3x + 3 = 12
3x = 12 - 3
3x = 9
x = 3