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weqwewe [10]
3 years ago
11

How do you solve each system of equations?

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

x=1,y=3,z=1

Step-by-step explanation:

4x-4y+4z=-4

4x=-4+4y-4z

x=-1+y-z

Substitute  x=-1+y-z into second equation:

4\left(-1+y-z\right)+y-2z=5

-4+4y-4z+y-2z=5

5y-6z-4=5

y=\frac{6z+9}{5}

Substitute x=-1+y-z and y=\frac{6z+9}{5} into the third equation:

\frac{-41z-54}{5}+3=-16

-41z-54=-95

z=1

Substitute z=1 into y=\frac{6z+9}{5}:

y=3

Plug in y and z values into x=-1+y-z:

x=1

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a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?
patriot [66]

Answer:

y=x+5

Step-by-step explanation:

So first you need to plug everything into the point-slope formula which is

y-y1=m(x-x1)

m being the slope and y1 and x1 being the point (5,10)

So once you plug it in it should look like this: y-10=1(x-5)

Now you solve it

First you need to distribute 1 in 1(x-5) which is (x-5)

Now you have y-10=x-5

Then you add 10 to both sides which is y=x+5

Your answer is y=x+5

8 0
3 years ago
Which of the binomial is a factor of this trinomial x2-7x-44?
yan [13]
I hope this helps you



x^2-7x-44

x -11



x +4



(x-11)(x+4)
6 0
3 years ago
Find the volume of a cylinder with base diameter 140cm and height 10cm. (22/7)
jeyben [28]

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

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in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

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4 0
2 years ago
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Gelneren [198K]
I am setting the week hourly rate to x, and the weekend to y.  Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7.  Now it equals:

52x + 56y = $1003.60
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Now we add these two equations together to get:

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Now we can plug in our answer for x to find y.  I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90.  Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends.  Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
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3 years ago
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