Question

3x-2y=1 ...Equation 1 -2x+3y=2 ...Equation 2 Solve this equation. Answer of x should be 3.5 or 7/2 and answer of y should be 4

Answer 1

x = 7/13, y = 8/26

Explanation:

3x-2y=1 ...Equation 1 -2x+3y=2 ...Equation 2 Solve this equation.

3x - 2y =>1.....Equation 1

2x + 3y => 2......Equation 2

We solve using Elimination

We multiply Equation 1 by 3 and Equation 2 by 2 to Eliminate y

9x - 6y => 3.....Equation 4

4x + 6y => 4.......Equation 5

We Add Equation 4 and 5

13x = 7

x = 7/13

We substitute 7/13 for x in Equation 1

3x - 2y =>1.....Equation 1

3(7/13) - 2y => 1

21/13 - 2y = 1

21/13 - 1 = 2y

y =>21/13 - 1/2

y => 8/13 ÷ 2

y = 8/13 × 1/2

y = 8/26