Question

2x-3y=13 X+2y=-4 Use linear combination method to solve

Answer 1

Answer:x=2 , y=-3

Step-by-step explanation:

Using elimination methods

2x-3y=13 equation 1 *1

+2y=-4 equation 2*2

2x-3y=13 equation 1

2x+4y=-8 equation 2

_______

-7y=21

Y=21/-7

Y=-3

Substitute y= -3 in equation 2

X+2(-3)=-4

X-6=-4

X=-4+6

X=2

Answer 2

Answer: x = 2

y = - 3

Step-by-step explanation:

The system of simultaneous linear equations is expressed as

2x-3y=13- - - - - - - - - - - - - -1

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

We would eliminate x by multiplying equation 1 by 1 and equation 2 by 2. It becomes

2x - 3y = 13 - - - - - - - - - - - - - 3

2x + 4y = - 8 - - - - - - - - - - - - - 4

Subtracting equation 4 from equation 3, it becomes

- 3y - 4y = 13 - - 8

- 7y = 21

Dividing the left hand side and the right hand side of the equation by

- 7, it becomes

- 7y/- 7 = 21/-7

y = - 3

Substituting y = - 3 into equation 2, it becomes

x + 2 × - 3 = - 4

x - 6 = - 4

Adding 6 to the left hand side and the right hand side of the equation, it becomes

x - 6 + 6 = - 4 + 6

x = 2