Question

Please help with this question! I want to get it right! I tried, but the teacher said the answer isn't in decimal form...so I cam here. Thank you!

Answer 1

x=1

y=1

z= -3

Explanation:

Start by solving for a variable and substituting into the other two

for example, (from the first equation) z= 3x+2y-8

substitute this for z into the other two equations to get

6x+7y= 13

13x+5y= 18

Now solve for x and y through elimination

mulitply the first equation by 5 and the second by 7

5(6x+7y)= 30x+35y = 65

7(13x+5y)= 91x+35y = 126

subtract them

(30x+35y)-(91x+35y)= 65-126

-61x= -61

x=1

Subsitute this into the equation

6(1)+7y= 13

7y=7

y=1

Now substiute these into the original equation

3(1)+2(1)-z=8

3+2-z=8

-z= 3

z= -3

Answer 2

x = 1, y = 1, and z = -3.

Explanation:

Please see the attached images for a detailed solution.