Question

solve for x and y by elimination method 3x+2y=4. and 2x -3y=7
​

Answer 1

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 + 2y = 4 --- (1)

2x - 3y = 7 --- (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 1 by 2 on both sides and equation 2 by 3 on both sides, we get

6x + 4y = 8 --- (3)

6x - 9y = 21 --- (4)                                         Equation 3 - Equation 4

-     +        -

---------------------------

        13y = -13

           y = -1

Put value of y in equation 1, we get

3x + 2(-1) = 4

3x - 2 = 4

3x = 6

x = 2

∴ x = 2 and y = -1 are solutions of given pair of equations.

Answer 2

Answer:

x=2

y=-1

Step-by-step explanation:

3x+2y=4.......... (1)

2x-3y=7............ (2)

solve

(1)×2: 6x+4y=8......(3)

(2)×3:6x-9y=21 .....(4)

by solving this we get,

13y=-13

then,

y= -1

substitute value of y in (3)

we get

6x=12

so x=2