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1) 7a - 9b = 8
2) 15a + 11b = 32
Despejo a en ecuación 1
7a - 9b = 8
7a = 8 + 9b
a = (8 + 9b)/7
Sustituyo el despeje de a en ecuación 2
15a + 11b = 32
15 (8 + 9b)/7 + 11b = 32
(135b + 120 + 77b)/7 = 32
135b + 77b + 120 = 7 (32)
212b + 120 = 224
212b = 224 - 120
212b = 104
b = 104/212
b = 26/53
Sustituyo el valor de b en el despeje de a
a = (8 + 9b)/7
a = (8 + 9 (26/53))/7
a = (234 + 424)/53/7
a = 658/53/7
a = 658/371
a = 94/53
Respuesta
a = 94/53
b = 26/53