dawsonf69420 dawsonf69420
  • 14-02-2021
  • Mathematics
contestada

What is the solution to this system of equations?
2x + 4y = 22
7x + y = 12

Respuesta :

emmaadiki
emmaadiki emmaadiki
  • 14-02-2021

Answer:

x=1 and y=5

Step-by-step explanation:

simultaneous equations: substitution method

2x+4y=22----equation 1

7x+y=12---equation 2

from equation 2 make y the subject

y=12-7x----equation 3

substitute y into equation 1 to find x

2x+4(12-7x)=22

2x+48-28x=22

collect like terms

2x-28x=22-48

-26x=-26

divide by -26

-26x/-26=-26/-26

x=1

substitute x=1 into equation 3

y=12-7(1)

y=12-7

y=5

therefore, x=1 and y=5

Answer Link

Otras preguntas

It takes 45 minutes for 7 people to paint 7 walls. How many minutes does it take 10 people to paint 10 walls?
What is the answer for 3/7 plus 1/2
what is a rational number that fits between 3.64 and 3.46
Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each boy practice??
m=0 and the y-intercept is (0,-2)
How do you graph y=sin(7pi/2)?
To try to escape economic woes, Great Britain raised tariffs. Why was this an unwise thing to do? Higher tariffs created too much of a surplus. It caused runawa
do I put a comma before by the way
Which of the following is a complex sentence? a. Check out the editorial page in today''s paper and you''ll notice the piece by Oscar Lewis. b. I would like t
What is 194753 decreased by two thousand