Question

6a+5b=8
-3a+4b=17

2x-3y=1
5x+3y=8

me ayudan a resolverlo doy corona
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Answer 1

Respuesta:

$6a + 5b = 8 \\ - 3a + 4b = 17 \\ \\ 6a + 5b = 8 \\ 2( - 3a + 4b = 17) \\ \\ 6a + 5b = 8 \\ - 6a + 8b = 34 \\ - - - - - - - - \\ 13b = 42 \\ b = \frac{42}{13} \\ \\ 6a + 5b = 8 \\ 6a + 5( \frac{42}{13} ) = 8 \\ 13(6a + 5( \frac{42}{13} ) = 8) \\ 78a + 5( 42) = 104 \\ 78a + 210 = 104\\ 78a = 104 - 210 \\ 78a = - 106 \\ a = - \frac{106}{78} = - \frac{48}{39}$

$2x - 3y = 1 \\ 5x + 3y = 8 \\ \\ 2x - 3y = 1 \\ 5x + 3y = 8 \\ - - - - - - - \\ 7x = 9 \\ x = \frac{9}{7} \\ \\ 2x - 3y = 1 \\ 2( \frac{9}{7} ) - 3y = 1 \\ 7(\frac{18}{7} - 3y = 1) \\ 18 - 21y = 7 \\ - 21y = 7 - 18 \\ - 21y = 11 \\ y = \frac{11}{ - 21} \\ y = - \frac{11}{21}$