Question

10) 1x + 2y = 16 1% x-001-6 12) ix-3y 17 21 ay 22 13 -7x + 4y = 24 xent 14) 4X = y 20 - Ayo Buy24 Y24. * -2x - 2y - 10 14 ra ym. 20 12 Solve each system by elimination. 15) 8x - 6y=-20 -16x + 7 = 30 16) 6x-12-24 -x-6 - 4 -127 24 h -lax Buy24 CXH2-23 -34247

Answer 1

x = 7

y = - 8

Step-by-step explanation:

The system of equation:

-8x - 10y = 24

6x + 5y = 2

To solve the system, let's multiply the second equation by 2, so:

6x + 5y = 2

2(6x + 5y) = 2(2)

12x + 10y = 4

Now, we can add this equation with the first one to get:

-8x - 10y = 24

12x + 10y = 4

4x + 0 = 28

So, solving for x, we get:

4x = 28

4x/4 = 28/4

x = 7

Finally, we can replace x by 5 on one of the initial equation as:

6x + 5y = 2

6(7) + 5y = 2

42 + 5y = 2

Now, solving for y, we get:

42 + 5y - 42 = 2 - 42

5y = - 40

5y/5 = - 40/5

y = - 8

Therefore, the solution of the system is:

x = 7

y = - 8