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AveGali [126]
3 years ago
8

2x+y=8 y+3z=5 z+2w=1 5w+3x=9 Find the solution to each variable

Mathematics
1 answer:
morpeh [17]3 years ago
4 0

Answer:

  w = 0, x = 3, y = 2, z = 1

Step-by-step explanation:

You can use each equation to write an expression that will substitute into the next equation.

  y = 8 -2x . . . . from the first equation

  8 -2x + 3z = 5 . . . . . substituted into the second equation

  z = (-3 +2x)/3 . . . . . solved for z

  (-1 +2/3x) +2w = 1 . . . . . substituted into the third equation

  w = (2 -2/3x)/2 . . . . . solved for w

  5(1 -1/3x) +3x = 9 . . . . . substituted into the last equation

  4/3x = 4 . . . . . simplified, 5 subtracted

  x = 3 . . . . . . . . multiply by 3/4

  w = 0 . . . . . . . .value of x substituted into equation for w

  z = 1 . . . . . . . . value of x substituted into equation for z

  y = 2 . . . . . . . .value of x substituted into equation for y

The solution is (w, x, y, z) = (0, 3, 2, 1).

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Brut [27]
B. y = 2x-2

14 = 2(8) + b
14 = 16 + b
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3 years ago
What is the total cost of a $350 laptop with a 8% tax rate
ollegr [7]

Answer:

It should be $378. sorry if I am wrong.

Step-by-step explanation:

5 0
2 years ago
NEED ANSWER ASAP- FOR FINALS
irga5000 [103]

Answer:

Height: 6 feet, Length: 14 feet, Width: 35 feet.

Step-by-step explanation:

The volume of a rectangular prism is length * width * height.

We know that the height of the pool is 6 feet and that one side is 2.5 times longer than the other. It doesn't matter which side, as long it's not the height. So let's just say the width is 2.5 times bigger than the length.

That means our equation can be rewritten as V = height * length* 2.5 * length.

Plugging in what we know, we get:

2940=(6)(l)(2.5l)\\196=l^{2} \\l=14 feet

Now we need to find the width.

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6 0
3 years ago
I did the first one I need help on this that’s all
Alenkasestr [34]

Answer:

m<A = 70 deg

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.

m<A + m<B + m<C = 180

5x - 25 + 2x + 10 + 3x + 5 = 180

10x - 10 = 180

10x = 190

x = 19

m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70

Answer: m<A = 70 deg

6 0
3 years ago
Read 2 more answers
Angle 1 and angle 2 are supplementary angles. If the measure of angle 1 is 64°. What is the measure of angle 2?
Fed [463]

Answer:

116

Step-by-step explanation:

supplementary means 180 so 180-64 = 116

hope this helps! :)

6 0
2 years ago
Read 2 more answers
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