3x-2y=14 2x-3y=11 solve algebraically

The value of x is 4 and y is -1.

Given that,

Equation; 3x - 2y = 14, 2x - 3y = 11

We have to solve

the solution of the equation.

According to the question,

The solution of the equation finding by using elimination method following all the steps given below.

From equation 1,

Substitute the value of x in equation 2,

Again, substitute the value of x in equation 1,

Hence, The value of x is 4 and y is -1.

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x = 4, y = - 1

Step-by-step explanation:

The given system of simultaneous equations is expressed as

3x - 2y = 14 - - - - - - - - - - - - 1

2x - 3y = 11- - - - - - - - - - - - - 2

The first step is to decide on which variable to eliminate. Let us eliminate x. Then we would multiply both rows by numbers which would make the coefficients of x to be equal in both rows.

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x - 4y = 28

6x - 9y = 33

Subtracting, it becomes

5y = - 5

y = - 5/- 5 = - 1

The next step is to substitute y = - 1 into any of the equations to determine x.

Substituting y = - 1 into equation 2, it becomes

2x - 3 × - 1 = 11

2x + 3 = 11

2x = 11 - 3 = 8

x = 8/2

x = 4

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