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What is the solution to the system of equations?

3 x minus 4 y = 16. 2 x + 3 y = 5.
(–4, 1)
(4, –1)
(–4, –1)
(4, 1)

Sagot :

Step-by-step explanation:

3x - 4y = 16

-4y = 16 - 3x

y = -(16 - 3x)/4

2x + 3y = 5

2x + -3(16 - 3x)/4 = 5

(8x - 48 + 9x)/4 = 5

17x - 48 = 20

17x = 68

x = 68/17

x = 4

3x - 4y = 16

3(4) - 4y = 16

12 - 4y = 16

-4y = 4

y = 4/-4

y = -1

Solution = (4,-1)

Option → B