Question

Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17? (–4, –3) (–4, 3) (–3, –4) (–3, 4)

Answer 1

-3,-4

Explanation:

Answer 2

(–3, –4)

Explanation:

Given pair of linear equation

-4x+y = 8

=> y = 8 + 4x _____(1)

x - 5y = 17 (2)

substituting value of y from equation 1 in equation 2 we have

x - 5(8 + 4x) = 17

=> x - 5*8 -5*4x = 17

=> x - 40 - 20x = 17

=> -40 - 19x = 17

=> -19x = 17+40 = 57

=> x = 57/-19 = -3

Thus, x = -3

y = 8 + 4x = 8 +4(-3) = 8 -12 = -4

Thus, y = -4

Hence, paired solution for given equation is (–3, –4).