1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
m_a_m_a [10]
3 years ago
10

Solve the system of equations

Mathematics
1 answer:
rewona [7]3 years ago
7 0

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

You might be interested in
A team won 7 of it’s 12 games. What fraction of its game did the team win?
valkas [14]

Answer:

7/12

Step-by-step explanation:

The team won 7 out of all 12 games played

4 0
4 years ago
Read 2 more answers
Explain how additive inverses are used in subtraction
slavikrds [6]
Given a number n, the addititive inverse is -n since n+(-n)=0. However
n+(-n) is the same as n-n which is 0 also.
SO adding the additive inverse it the same as subtracting
7 0
3 years ago
For which equation does it make the most sense to solve by using the zero product
miss Akunina [59]
5x2 plus 3x =9 which is correct I think
4 0
3 years ago
Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 5 + 2x2 + 2y2 and the plane z = 11 in
podryga [215]
Using cylindrical coordinates,

\displaystyle\int_{x=0}^{x=\sqrt3}\int_{y=0}^{y=\sqrt{3-x^2}}\int_{z=5+2x^2+2y^2}^{z=11}\mathrm dz\,\mathrm dy\,\mathrm dx
\displaystyle=\int_{\theta=0}^{\theta=\pi/2}\int_{r=0}^{r=\sqrt3}\int_{z=5+2r^2}^{z=11}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle\frac\pi2\int_{r=0}^{r=\sqrt3}r(11-(5+2r^2))\,\mathrm dr
=\displaystyle\pi\int_{r=0}^{r=\sqrt3}(3r-r^3)\,\mathrm dr
=\dfrac{9\pi}4
3 0
3 years ago
Use the graphs of f(x) =2/x and g(x)=1/-3-x to determine the solutions to f(x) = g(x).
AURORKA [14]
We have that
<span>f(x) =2/x
</span>and
<span>g(x)=1/(-3-x)

we know that
</span>the solutions to f(x) = g(x) is the intersection of both graphs

the <span>intersection of both graphs is the point (-2,-1)
</span>
the answer is the option
<span>A) (-2, -1)
</span>
see the attached figure

8 0
3 years ago
Other questions:
  • How to convert Decimal to Percent?
    12·2 answers
  • How many solutions exhaust for the given equation 3(x-2)=22-x
    10·1 answer
  • An exponential function is not an appropriate model because, for evenly spaced x-values, the ______ of consecutive y-values is n
    10·1 answer
  • What does 2.975 round to?
    9·2 answers
  • Name a polygon that would have a
    6·1 answer
  • Part 6
    15·1 answer
  • If the volume of a cylinder is 72 inches^3, what is the volume of a cone that fits exactly inside the cylinder
    7·2 answers
  • 36 jelly donuts is 200 percent of how<br> many jelly donuts?
    9·2 answers
  • Find the HCF of 32 and 50 using prime factors
    10·1 answer
  • Scott was considering the equation 5 – x = 12. He said, "That seems impossible. How can I start with 5 and subtract from it and
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!