Nilai (x-y) pada persamaan adalah.... Question from @rizkyaulina

Kilos $\left[\begin{array}{cc}5&3\\2&-4\\\end{array}\right] \left[\begin{array}{cc}x\\y\\\end{array}\right] = \left[\begin{array}{cc}9\\14\\\end{array}\right] \\\\ \left[\begin{array}{cc}(5x) + (3y)\\(2x) + (-4y)\\\end{array}\right] = \left[\begin{array}{cc}9\\14\\\end{array}\right] \\\\ 5x + 3y = 9 \\ 2x -4y = 14 \\\\ sehingga : \\\\ ((5x + 3y) \times 4) = (9 \times 4) \\ ((2x - 4y) \times 3) = (14 \times 3) \\\\ 20x + 12y = 36 \\ \underline {6x - 12y = 42}_+ \\\\ 26x = 78 \\\\ x = \frac{78}{26}$

$\boxed {x = 3} \\\\2x - 4y = 14 \\\\ 2(3) - 4y = 14 \\\\ 6 - 4y = 14 \\\\ -4y = 8 \\\\ y = \frac{8}{-4} \\\\ \boxed { y = -2} \\\\ x - y = 3 -(-2) \\\\ = 3 + 2 \\\\ \boxed { \boxed { \bold { = 5} } }$

1 votes Thanks 2

RanshiVM 5x + 3y = 9 |×2| 10x + 6y = 18
2x - 4y = 14 |×5| 10x - 20y = 70
26y = -52
y = -2

5x + 3y = 9
5x + 3(-2) = 9
5x - 6 = 9
5x = 9 + 6
5x = 15
x = 3

(x - y) = (3 - (-2))
= 3 + 2
= 5

Jadi nilai x - y adalah 5.

1 votes Thanks 1

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