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
nikdorinn [45]
3 years ago
11

The answer is 5,-2,-3 but i need help with steps that make sense

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

\left\{\begin{array}{ccc}x+3y-z=2\\4x+2y+5z=1\\3x+z=12&\to z=12-3x\end{array}\right\\\\\text{substitute the value of z to the first and second equation}\\\\\left\{\begin{array}{ccc}x+3y-(12-3x)=2\\4x+2y+5(12-3x)=1\end{array}\right\\\\\left\{\begin{array}{ccc}x+3y-12+3x=2&|+12\\4x+2y+60-15x=1&|-60\end{array}\right\\\\\left\{\begin{array}{ccc}4x+3y=14&|\cdot2\\-11x+2y=-59&|\cdot(-3)\end{array}\right

\underline{+\left\{\begin{array}{ccc}8x+6y=28\\33x-6y=177\end{array}\right}\ \ \ \ |\text{add both sides of the equations}\\.\ \ \ \ \ \ \ 41x=205\ \ \ \ |:41\\.\ \ \ \ \ \ \ x=5\\\\\text{substitute the value of x to the first equation}\\\\4(5)+3y=14\\20+3y=14\ \ \ \ |-20\\3y=-6\ \ \ \ \ |:3\\y=-2\\\\\text{substitute the value of x to the equation:}\ z=12-3x\\\\z=12-3(5)=12-15=-3\\\\x=5,\ y=-2,\ z=-3\to(5,\ -2,\ -3)

You might be interested in
Jose bought 1.5 pounds of apples for $3.60.<br><br> How much would 3/4 of a pound of apples cost?
Vladimir [108]

Answer:

$1.80 is the cost for 3/4 of a pound of apples. If you divide 1.5 over 2, it would be 3/4, which means you will divide the price too, 3.60/2 = $1.80

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP 50pts And Brainleist. I need the Answers ...
Anvisha [2.4K]
Let us assume that the first company the cab flat rate is 5$ and the cap driver charges 2$ per mile .for the second company the cab flat rate is 3$ and the cab driver charges 3$ per mile.
a. the company charges per ride at least 5$ and an extra 2$ per mile
b.the equation we will choose is slope intercept since we know the
y-intercept which is the cab flat rate .
y=mx+b
where
m :is the slope
b:is the y-intercept
y:total amount
x. is the milage
total amount=2x+5.
c.the slope will be 2$ which is the change in amount per mile.the y-intercept will be the cab's flat rate.
3 0
3 years ago
An investment of $5,000 is made at a simple annual interest rate of 3%. How much additional money must be invested at a simple a
liubo4ka [24]

Answer:  Additional money is $6250.

Step-by-step explanation:

Since we have given that

Amount of investment = $5000

Rate of simple interest = 3%

Let the additional amount of investment be 'x'.

Rate of simple interest = 3.9%

Total annual interest rate on total investment = 3.5%

So, According to question, it would be

5000\times 0.03+x\times 0.039=(5000+x)\times 0.035\\\\150+0.039x=175+0.035x\\\\0.039x-0.035x=175-150\\\\0.004x=25\\\\x=\dfrac{25}{0.004}\\\\x=\$6250

Hence, Additional money is $6250.

3 0
3 years ago
FIND THE AREA The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to th
qwelly [4]
There is no picture, so i cannot help
5 0
3 years ago
Describe the graph of y = 3 x squared and compare it with the graph of y = x squared
lesantik [10]
Y=-x^2 is just y=x^2 reflected over the x-axis. In other words, the parabola is upside-down.
3 0
2 years ago
Read 2 more answers
Other questions:
  • Researches notice a grey whale cruising at a depth of 233 feet below sea level. It rises 73 feet and then comes up another 40 fe
    8·2 answers
  • 23/20 or 110% which is greater?
    12·1 answer
  • 9. y=-2(x-3)
    10·2 answers
  • Please please please help!
    12·1 answer
  • Write the equation of the circle with center (−3, 2) and (6, 4) a point on the circle.
    11·2 answers
  • S2 Alg I Unit 3B Common Unit Assessment (MC&amp;CR) / 5 of 11
    15·1 answer
  • Suda çözündüklerinde H* iyonu verebilen
    7·1 answer
  • Can anyone help me please?
    13·2 answers
  • Help ASAP I’ll give brainliest how do u find this out or how do u think we could find this out
    14·1 answer
  • What is the value of d in 3/4(8x-6)-2=1/2-x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!