Question

MATH QUESTION HELP ME PLS, KINDA URGENT!!

I need to resolve this with the elimination method

x +y +z = 13
x–z = −2
−2x +y = 3

how-?

Answer 1

Answer

X=2

Y=7

Z=4

Step by step answer

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Answer 2

x= 2

y= 7

z= 4

Explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z