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
svet-max [94.6K]
3 years ago
9

Create an equivalent system of these equations and test your solution x + y = 1 x 3y =9

Mathematics
2 answers:
ad-work [718]3 years ago
4 0
An equvilent equation
remember you can do anything to an equation as long asyou do it to both sides


assuming yo have
x+y=1 and
x-3y=9
mulitply both by 2
2x+2y=2
2x-6y=18
those are equvilent



ok, solve initial

x+y=1
x-3y=9
multiply first equation by -1 and add to 2nd equation


-x-y=-1
<u>x-3y=9 +</u>
0x-4y=8

-4y=8
divide both sides by -4
y=-2

sub back
x+y=1
x-2=1
add 2
x=3


x=3
y=-2
(3,-2)

if we test it in other one

2x+2y=2
2(3)+2(-2)=2
6-4=2
2=2
yep

2x-6y=18
2(3)-6(-2)=18
6+12=18
18=18
yep


solution is (3,-2)
Nuetrik [128]3 years ago
3 0
Equivalent system is the same set of eqns n has the same solution

so for x + y = 1 and x + 3y = 9

an equivalent system can be created by multiplying everything by 3

3x + 3y = 3 and 3x + 9y = 27

solving by substracting one from the other

9y - 3y = 27 - 3

6y = 24

y = 4

x = 1 - y = 1 - 4

= -3

substituting (-3,4) back into

<span>x + y = 1 and x + 3y =9

-3 + 4 = 1 and -3 + 3*4 = 9

so the solutions are good</span>
You might be interested in
James has 24 shirts 18 pants and 16 shoes (pairs) how many combinations of shirt shoes and pants if he wears his favorite shirt(
kodGreya [7K]

multiply pants  & shoes

16 x 18 = 288


5 0
3 years ago
What is , 12-1x0+4÷2???
kolbaska11 [484]
2 is the answer because if you subtract 12 to 1 it will be 11 and time by 0 and it will be 0 add by 4 and divide it by 2 and it will be 2.

8 0
3 years ago
Read 2 more answers
The sum of 3 consecutive numbers is 27 what is the smallest number?
grandymaker [24]

Answer:

8

Step-by-step explanation:

8 plus 9 plus 10 equals 27. so 8 is the smallest.

4 0
3 years ago
Read 2 more answers
Round to the nearest tenth wa hit is the perimeter of the triangle
klio [65]

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

6 0
2 years ago
Solve x2 – 8x + 15 &lt; 0.
rusak2 [61]
X2 - 8x + 15 = 0
(x  - 3)(x - 5) = 0
critical points are at 3 and 5
8 0
3 years ago
Read 2 more answers
Other questions:
  • Name the sets of numbers to which<br> 3/5<br> belongs
    11·1 answer
  • The lee family bought their home for $220,000 this year. The equation V = $220,000(1.038)* can be used to find the value, V, for
    13·2 answers
  • Which of the following stocks had the highest trading price at the end of the day A.eBay. B.Netflix. C.Google. D.Apple
    5·2 answers
  • Find the surface area of the figure below
    14·2 answers
  • What is the solution to this system of equations? 5x + 2y = 29 x + 4y = 13 A. x = 5, y = 3 B. x = 2, y = 5 C. x = 5, y = 2 D. x
    7·2 answers
  • Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
    11·2 answers
  • Given isosceles triangle HGI, With legs HI and GI and median IJ, find measure of angle HIJ.
    15·1 answer
  • Help pls just answer if u know the answer...
    5·2 answers
  • I have lakes with no water, mountains with no stone and cities with no buildings. What am I?
    14·1 answer
  • Are the two triangles similar?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!