Answered

From personal advice to professional guidance, IDNLearn.com has the answers you seek. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

Whst is the solution to the system of equations 6x - 2y = -14 4x - 3y = -31

Sagot :

Answer:

(2, 13 )

Step-by-step explanation:

6x - 2y = - 14 → (1)

4x - 3y = - 31 → (2)

multiplying (1) by 3 and (2) by - 2 and adding the result will eliminate y

18x - 6y = - 42 → (3)

- 8x + 6y = 62 → (4)

add (3) and (4) term by term to eliminate y

10x + 0 = 20

10x = 20 ( divide both sides by 10 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

6(2) - 2y = - 14

12 - 2y = - 14 ( subtract 12 from both sides )

- 2y = - 26 ( divide both sides by - 2 )

y = 13

solution is (2, 13 )

Strikelistedidn

Analysis in the picture

ANSWER:

[tex]x = \frac{31}{18} \\ y = \frac{11}{3} [/tex]

View image Strikelisted
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.