Question

what is the solution to the equations 2x+3y=11, and x+2y=7

Answer 1

Step-by-step explanation:

The given equations are:

2x + 3y = 11       (i)

x + 2y = 7       (ii)

Multiply the equation (ii) by 2, we get

x + 2y = 7      .. (× 2)

2x + 4y = 14       .. (iii)

Subtract equation (i) and (ii), we get

Substituting the value of y = 3 in equation (i) we get 

2x + 3y = 11 

or, 2x + 3 × 3 = 11

or, 2x + 9 = 11

or, 2x + 9 – 9 = 11 – 9

or, 2x = 11 – 9

or, 2x = 2 

or, x = 2/2 

or, x = 1

Therefore, x = 1 and y = 3 is the solution of the system of the given equations.