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vfiekz [6]
3 years ago
13

Solve for x,y, and z and please explain answer. 4x-3y+2z=-29 6x+2y-z=-16 -8x-y+3z=23

Mathematics
1 answer:
Setler [38]3 years ago
3 0
 8x - 6y + 4z = -58
-8x -   y + 3z =  23
      -7y + 7z = -35
7 (z-y) = -35
z - y = -5
z = y - 5
4x - 3y + 2y - 10 = -29
6x + 2y - y + 5 = -16

4x -  y = -19
6x + y = -21

10x = -40

x = -4
y = 3
z = -2

Thank you very much.
(Took me too long...)
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Answer:

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Step-by-step explanation:

1w= -17

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Answer:

a) <em>The equation</em> (10s + 8w) <em>represents </em><em>the </em><em>calories </em><em>Bridget </em><em>ate </em><em>on </em><em>Monday </em><em>and </em><em>the </em><em>equation</em> (20s + w) <em>represents </em><em>the </em><em>calories</em><em> </em><em>she </em><em>ate</em><em> </em><em>the </em><em>next </em><em>day.</em>

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Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is <em>s</em> and the number of calories in a vanilla wafer cookie is <em>w </em>, the number of calories Bridget ate on Monday is <em>10s + 8w</em><em>.</em><em> </em>The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s<em> + w</em>.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

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15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

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s = 80/20 = 4

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