Solve each systems of equations by eliminating

X-2y=10

X-3y=5

2x-3y=9

-5x-3y=30

X+y=-4

X-y=2

The first set of simultaneous equations.

x = 20 and y = 5

The second set of simultaneous equations:

x = - 3 and y = - 5

The third set of simultaneous equations:

x = - 1 and y = - 3

Step-by-step explanation:

The first set of simultaneous equations.

x - 2y = 10 ... (i)

x - 3y = 5 ... (ii)

We eliminate x:

Subtracting (i) - (ii) we get;

0 + y = 5

Hence y = 5 and,

x - 2 (5) = 10

x = 10 + 10 = 20

The second set of simultaneous equations:

2x - 3y = 9 ... (i)

-5x - 3y = 30 ... (ii)

We eliminate y:

Subtracting (i) - (ii) we get;

7x + 0 = - 21

7x = - 21

x = - 3

and,

2 (-3) - 3y = 9

3y = - 6 - 9

3y = - 15

y = - 5

The third set of simultaneous equations:

x + y = - 4 ... (i)

x - y = 2 ... (ii)

We eliminate y:

Adding (i) - (ii) we get;

2x + 0 = - 2

2x = - 2

x = - 1

and,

-1 - y = 2

y = - 1 - 2 = - 3

y = 5

x = 20

x = - 3

y = - 5

x = - 1

y = - 3