$x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }$

3 0

3 years ago

The sum of 4 consecutive integers is 130. What is the third number in this sequence?

timurjin [86]

33 is the answer because 31+32+33+34 equal 130 and 33 is the third number

3 0

3 years ago

Wewaii [24]

Answer:The slope of A"D" is 3

The slope of B"C" is 3

What can you determine about the line segments A"D" and B"C"?

They are parallel.

3 0

3 years ago

Mariah wanted to make cookies for her family but needed to reduce the recipe. The original recipe required five cups of flour an

Evgesh-ka [11]

Answer:

1⅕ or 1.2 cups of sugar

Step-by-step explanation:

Flour : Sugar

5 : 2

3 : X

5/2 = 3/X

X = 3×2/5

X = 6/5 cups

1⅕ or 1.2 cups of sugar

3 0

3 years ago

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