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
zalisa [80]
3 years ago
14

How many solutions does this system have?

Mathematics
2 answers:
Korolek [52]3 years ago
6 0

Answer:

Option- one is correct.

The given system of equations have one solution that is (7,-21)

Step-by-step explanation:

Given system of equations are

y=-3x\hfill (1)

-9x-4y=21\hfill (2)

Now to the solution:

To solve the given system of equations using substitution method.

That is substitute equation(1) in equation (2) we get

-9x-4(-3x)=21 (here y=-3x)

-9x+12x=21

3x=21 (adding the like terms)

x=\frac{21}{3}

Therefore x=7

Now substitute x=7 in equation (1) we get

y=-3x

y=-3(7)

y=-21

Therefore the solution is (7,-21)

Therefore Option- one is correct.

The given system of equations have one solution that is (7,-21)

DedPeter [7]3 years ago
3 0

Answer:

One solution

Step-by-step explanation:

I took the quiz

You might be interested in
Given: △RST ~ △VWX
tatiyna

Answer:

Given

Step-by-step explanation:

Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.

Comparing △RST and △VWX;

TU ~ XY (given altitudes of the triangles)

<TUS = <XYW (all right angles are congruent)

<UTS ≅ <YXW (angle property of similar triangles)

Thus;

ΔTUS ≅ ΔXYW (congruent property of similar triangles)

<UTS + <TUS + < UST = <YXW + <XTW + <XWY = 180^{0} (sum of angles in a triangle)

Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX

So that:

\frac{TU}{XY} = \frac{US}{YW} (corresponding side length proportion)

4 0
3 years ago
PLEASE HELP ME I NEED TO PAST THIS TEST. Jack invests $30,000 with an interest rate of 4.5% compounded quarterly. After 6 years,
zavuch27 [327]

Answer:

1350

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
What is -0.75 - 0.4 simplified
anzhelika [568]

Answer:

-1.15

Step-by-step explanation:

Subtract  0.4  from  − 0.75 .

3 0
3 years ago
Read 2 more answers
B. The 100th term of 60, 110, 160, ... is (Simplify your answer.) How to do this?​
Advocard [28]

The 1st term is 60.

Add 50 to this to get the 2nd term, 60 + 50 = 110.

Add 50 to that to get the 3rd term, 110 + 50 = 160.

Add 50 to that to get the 4th term, 160 + 50 = 210.

And so on...

Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.

In the 3rd, we ultimately added 2 copies of 50 to the 1st term.

In the 4th, we added 3 50s.

And so on... If the pattern continues, then the <em>n</em>-th term can be obtained by adding (<em>n</em> - 1) copies of 50 to the first term.

So, the 100th term is

60 + (100 - 1) * 50 = 5010

5 0
3 years ago
What is the easiest to use to solve x2-6=0?
Tema [17]
Factoring may be the easiest one
5 0
3 years ago
Read 2 more answers
Other questions:
  • Cornerstone Bakery sold 78 pies on Monday, 96 pies on Tuesday, 40 pies on Wednesday, 104 pies on Thursday, and 77 pies on Friday
    7·2 answers
  • Find the volume of the cone to the nearest whole number. Radius is 2 and height is 4
    9·1 answer
  • Write the mixed number as an improper fraction.<br> -4 1/5
    14·2 answers
  • Please help and work please
    10·1 answer
  • Simplify 2(x + 6) - 8
    11·2 answers
  • Marcia is traveling with her family in the car. If they traveled 240 miles in 4 hours, at what rate, or speed were they travelin
    11·2 answers
  • Cushman Company had $824,000 in sales, sales discounts of $12,360, sales returns and allowances of $18,540, cost of goods sold o
    13·2 answers
  • If the area of a square is 49in2 what is one side length
    13·1 answer
  • Khloe made 20% of her free throws over the season. If she shot 240 free throws, how many did she make?
    14·1 answer
  • Brandon and his friend combined their allowance of $900 each, so they could buy a movie a 2-for-1 movie ticket for $1200. They b
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!