How do you slove these simultaneous equations? Please help.1. 2y-x=-4 and x+3y=-5 2. 5y-2x=4 and 6x+y=4

1.

The two simultaneous equations are

2y - x = -4      ... (1)

x + 3y = -5     ... (2)

Adding equation (1) to equation (2) we get

x - x + 3y + 2y = - 5 - 4

Simplifying this we get:

5y = -9

Therefor y = -9/5 = -2.25

Substituting this value of y in equation (1) we get:

2*(-2.25) - x = -4

Simplifying this equation we get:

x = 0.5

Answer: x = 0.5 and y = -2.25

2.

The two simultaneous equations are:

5y - 2x = 4   ...  (1)

6x + y = 4     ... (2)

Multiplying equation (1) by 3 we get:

-6x + 15y = 12  ...  (3)

Adding equation (2) and (30 we get:

6x - 6x + y + 15y = 4 + 12

Simplifying this equation we get:

16y = 16

Therefore:

y = 1

Substituting this value of y in equation (1) we get:

5*1 - 2x = 4

Simplifying this equation we get:

-2x = -1

Therefor x = 1/2 = 0.5

Answer: x = 0.5 and y = 1