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
ra1l [238]
3 years ago
7

What is the answer for this question using the elimination formula

Mathematics
2 answers:
nalin [4]3 years ago
7 0

It is convenient to add 3 times the first equation to the second. This will eliminate x.

In general, you want to find some multiple of one equation that you can combine with some multiple of the other to cause one of the variable coefficients to become zero. Here, we see that x is by itself in one equation, so it is convenient to multiply that by a suitable factor to cancel the x-term in the other equation. The x-coefficient in the second equation is -3, so when we multiply the first equation by +3 and add the result to the second equation, we get +3x-3x = 0x in the result.

3(x +5y) +(3y -3x) = 3(17) + (21)

... 18y = 72 . . . . . . collect terms

... y = 4 . . . . . . . . . divide by 18

Substitute into the first equation:

... x + 5·4 = 17

... x = -3 . . . . . . . . subtract 20

The solution is (x, y) = (-3, 4).

_____

Here, we note the second equation has terms that all have a factor of 3 that can be removed. That is, the second equation can be rewritten as

... y - x = 7

Now, we can add this directly to the first equation to eliminate the x terms.

... (y -x) +(x +5y) = 7 + 17

... 6y = 24 . . simplify

... y = 4 . . . . same as above

We could also subtract 5 times the new second equation from the first to eliminate y.

... (x +5y) -5(y -x) = (17) -5(7)

... 6x = -18 . . . . . . simplify

.... x = -3 . . . . . . . . divide by the coefficient of x

amid [387]3 years ago
7 0
Thats your answers... hope it can help... :)
You might be interested in
A line is written in standard form Ax + By = 0, where A and B are not
cricket20 [7]

Answer:

A point that must lie on this line is the origin (0,0)

Step-by-step explanation:

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integer

In this problem

C=0

so

Ax+By=0

That means, that the line represent a proportional relationship between the variables x and y

Remember that in a proportional relationship the line passes through the origin

therefore

A point that must lie on this line is the origin (0,0)

5 0
3 years ago
Which expression shows: add 99 and 15, then multiply by 11?
Jobisdone [24]
The answer is(99+15)11 

i hope this help

4 0
3 years ago
Solve for h in the literal equation g(h+3/2)=5
joja [24]

Answer:  h= 5/g−3/2

Step-by-step explanation:

h=  5 over g minus   3 over 2

5 0
2 years ago
Read 2 more answers
Solve for z<br><br> 15z–19≥–9 or z+13≤6
babunello [35]

Answer:

the answer is A

i hope this helps

5 0
3 years ago
Read 2 more answers
What are the intercepts of the line 3x – 15y = 60?   A. x-intercept: –4; y-intercept: 20   B. x-intercept: –3; y-intercept: 15  
AnnZ [28]
X intercept is when y = 0
3x -15(0) = 60
3x = 60
x = 20

y intercept is when x=0
3(0) -15y = 60
-15y = 60
y = -4

Answer is C
8 0
2 years ago
Other questions:
  • A sign say that the price marked on all music equipment is 30% off the original price. You buy an electrical guitar for the sale
    11·1 answer
  • Please help! The position equation for a particle is s(t)= sqrt(2t + 1) where s is measured in feet and t is measured in seconds
    15·1 answer
  • Veronica is opening a bakery. She plans to start by selling cakes. It costs her
    13·2 answers
  • The number 31 is increased to 44. What is the percentage by which the number was increased, to the nearest tenth of a percent?
    11·1 answer
  • The swimming team has competed 45 races this season. They have won 30 races so far. How many races will the team need to win tod
    7·1 answer
  • What is the simplest radical form of 20
    15·2 answers
  • Use the encrypting congruence c ≡ (7p + 12) mod 26 to code the message PARALLEL LINES.
    12·1 answer
  • Using the Rule of 78, determine the fractional amount that will be paid of the total interest due on a 10-month loan in its 8th
    15·1 answer
  • PLEASE ONLY RIGHT ANSWERS BIG PART OF MY GRADE!! BRAINLIEST!!!!!!
    7·2 answers
  • 62% of what number is 84
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!