Question

From the sum of 2×-y+7and 2y-10, subtract 4×-2y-11​

Answer 1

Answer:

x = 17/8 ; y = -5/4

Step-by-step explanation:

sum

(2x + y = 3) × 2

4x +2y = 6

4x -2y = 11

- + -

________

4y = -5

y = -5/4

x = 4x + 5/2 = 11

4x = 11- 5/2

4x = 17/2

x = 17/8

Answer 2

[tex] \rm {2x \: - \: y + \: 7} [\tex] [tex] \: [\tex] [tex] \implies \: \: {¡} [\tex] \\ [tex] \rm {2y \: - \: 10} [\tex] [tex] \: [\tex] [tex] \implies \: \: {¡¡} [\tex] \\ [tex] \rm {4x \: - \: 2y \: - \ : 11} [\tex] [tex] \: [\tex] [tex] \implies \: \: {¡¡¡} [\tex] \\ [tex] \textsc {By \: Adding \: Eq \: (¡) \: and \: (¡¡)} [\tex]\\ [tex] \rm {= \: 2x \: - \: y \: + \: 7 \: 2y \: - \: 10} [\tex] \\ [tex] \rm {2x \: + \: y \: - \: 3} [\tex] [tex] \: [\tex] [tex] \implies \: \: [\tex] \\ [tex] \textsc {By \: Subtract \: Eq \: (¡¡¡) \: from \: (¡v) [\tex] \\ \\ [tex] \rm {2x \: + y \: - \: 3 \: - \: (4x \: - \: y \: - \: 11)} [\tex] \\ [tex] \rm {2x \: + y \: - \: 3 \: - \: 4x \: + \: y \: + \: 11} [\tex] \\ [tex] \rm {2x \: + \: 3y \: - \: 4} [\tex]