Solve the system 8y-5z=23 3y-2z=6

100 POINTS

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

y = 16

z = 21

Step-by-step explanation:

8y - 5z = 23

8y = 23 + 5z

y = 23/8 + 5z/8

3y - 2z = 6

3(23/8 + 5z/8) - 2z = 6

69/8 + 15z/8 - 2z = 6

15z/8 - 16z/8 = 48/8 - 69/8

- z/8 = - 21/8

z = 21

y = 23/8 + 5(21)/8

y = 16

answer: 48

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step-by-step explanation: