Question

Solve the following simultaneous linear equations:

2x - 3y = 9

2x + y = 13​

Answer 1

Answer:

x = 6 and y = 1

Step-by-step explanation:

2x - 3y = 9 ....(1)

2x + y = 13 ....(2)

By subtracting equation (1) from (2) we get,

2x + y - (2x -3y) = 13 - 9

2x + y - 2x + 3y = 4

4y = 4

So, y = 4/4 = 1

By putting this value of y in equation (2), we get

2x + 1 = 13

2x = 12

x = 12/2

So, x = 6

Answer 2

x = 6 & y = 1

Step-by-step explanation:

2x - 3y = 9 _(i) 2x + y = 13 _(ii)

• SUBTRACT → (ii) - (i)

2x + y - (2x - 3y) = 13 - 9

2x + y - 2x + 3y = 4

4y = 4

y = 1

• Put y = 4 in eqn. (ii)

2x + 1 = 13

2x = 12

x = 6