Question

Solve for x and y:

3x – 5y – 19 = 0,

-7x + 3y + 1 = 0.

Answer 1

3x – 5y – 19 = 0 …………..(1)

-7x + 3y + 1 = 0 ……….(2)

Let us use elimination method to solve the given system of equations.

Multiply (1) by 3 and (2) by 5. And add both the equations.

Substitute the value of x in equation (1), we have

3 × (-2) -5y = 19

-6 -5y = 19

y = -5

Hence: x = -2 and y = -5

x = -2, y = -5