Question

solve the following pair of equations 2x + 5 y = 3 and 7 x- 2y = 4 by elimination method

Answer 1

Answer:

x = 2/3, y = 1/3

Step-by-step explanation:

2x + 5y = 3

7x - 2y = 4

Equalling y of both the equations,

2[2x + 5y = 3

5[7x - 2y = 4

____________

4x + 10y = 6

35x - 10y = 20

Eliminating y of both the equations, (No need to change the signs)

39x = 26

x = 26/39

x = 2/3

Substituting x in the first equation,

2x + 5y = 3

2(2/3) + 5y = 3

4/3 + 5y = 3

5y = 3 - 4/3

(LCM = 3)

5y = (9 - 4)/3

5y = 5/3

y = 5/3 ÷ 5

y = 5/3 x 1/5

y = 5/15

y = 1/3