Question

solve by elimination method 9x+5z=38,10x+8z=52​

Answer 1

Answer:

here i also studied elimination medhod in matrix form

Answer 2

Answer:

9x+5z=38,10x+8z=52

9x+5z=38 ......(1)

10x+8z=52 .......(2)

Multiply 8 in equ. (1) and 5 in eq. (2)

8(9x+5z) = 8×38

72x+40z = 308 .....(3)

5(10x+8z) = 5×52

50x+40z = 260 .....(4)

Subtract both eq.

72x+40z - (50x+40) = 308-260

72x+40z-50x-40z = 308-260

72x-50x+40z-40z = 48

22x = 48

x = 48/22

x = 24/11

x = 2.18

Putting x=2.18 in eq. (1)

9(2.18)+5z = 38

19.62+5z = 38

5z = 38-19.62

5z = 18.38

z = 18.38÷5

z = 3.67

x = 2.18 and y = 3.67