4x+3y=0 and 2x-y=0

Question

homework paper.

Answer 1

Substitution method :

The system of equations are

4x + 3y = 0 →(1)

2x - y = 0   →(2)

Solve equation 2 for y, since the y has a coeffient of - 1.

Subtract 2x from each side.

- y = - 2x

y = 2x.

Substitute the value of y = 2x in equation 1 and solve for x.

4x + 3(2x ) = 0

4x + 6x = 0

10x = 0

x = 0.

Substitute the value of x = 0 in y = 2x.

y = 2(0)

y = 0.

The solution (x, y ) = (0, 0).