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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 )
Analysis in the picture
ANSWER:
[tex]x = \frac{31}{18} \\ y = \frac{11}{3} [/tex]
