Question

Solve each pair of simulation equation. Multiply one equation by suitable numbers before adding/substracting to eliminate.

A) 2x+ 3y =11
x+ y = 4





B) 4x + 3y =-12
2x - y = 4​

Answer 1

A) x = 4, y = 3.

B. x = 0, y = -4.

Explanation:

A) 2x+ 3y =11 .........(a)

x+ y = 4.......(b)

Multiply equation (b) by 2:

2x + 2y = 8

Subtract this from equation (a):

y = 11-8 = 3.

Substitute y = 3 into equation (a):

2x + 3*1 = 11

2x = 11 - 3 = 8

x = 4.

B) 4x+ 3y = -12

2x - y= 4

Multiply second equation by 2:

4x - 2y = 8

Subtract this from first equation:

3y - (-2y) = -12 - 8

5y = -20.

y = -4.

Substitute y = -4 into equation 1:

4x + 3*(-4) = -12

4x = -12 + 12 = 0

x = 0.