Question

Find the sum of the coordinates of the solution of:
17x + 31y = 274
7x − 5y = 24

(A) 6 (B) 8 (C) 10 (D) 12

Answer 1

solve for x or y in one of the equations first

Answer 2

7x-5y=24
5y=7x-24
y=7/5x - 24/5 = 1.4x - 4.8
now substitute the y value into the second equation and solve for x.

Answer 3

17x + 31(1.4x - 4.8)=274
17x + 43.4x - 148.8=274
60.4x=274+148.8
60.4x=422.8
x=7

now solve for y using y=1.4x - 4.8

Answer 4

y=1.4*7-4.8=5

the sum of coordinates will be equal to x+y=7+5=12

Answer 5

Thank you

Answer 6

np :)