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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
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