[tex]1) \ left \ { {{x / 2 + 2x = 10} \ atop {x + y = 6}} \ right?

Question

[tex]1) \ left \ { {{x / 2 + 2x = 10} \ atop {x + y = 6}} \ right. 2) \ left \ { {{2x / 3 - 3y / 2 = 1} \ atop {x + y = 4}} \ right. [ / tex].

Antoni28 · Accepted Answer

1)

x / 2 + 2x = 10

(x + 4x) / 2 = 10

5x = 20

x = 4

x + y = 6

5 + y = 6

y = 1

2)

2x / 3 - 3y / 2 = 1

(2x - 9y) / 6 = 1

2x - 9y = 6

2x = 6 + 9y

x = (6 + 9y) / 2

x + y = 4

(6 + 9y) / 2 + y = 4

(6 + 9y + 2y) / 2 = 4

6 + 11y = 8y

6 = - 3y - 2 = y

x = (6 + 9y) / 2

x = (6 + 9( - 2)) / 2

x = (6 + ( - 18)) / 2

x = - 6.

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