Answer:
(4, 1 )
Explanation:
3x - 5y = 7 → (1)
2x + 5y = 13 → (2)
the 'best' or 'simplest' way to solve this system is the elimination method
since the signs of 5y are opposites then adding will eliminate the y term
add (1) and (2) term by term to eliminate y
(3x + 2x) + (- 5y + 5y) = 7 + 13 , that is
5x + 0 = 20
5x = 20 ( divide both sides by 5 )
x = 4
substitute x = 4 into either of the 2 equations and solve for y
substituting into (2)
2(4) + 5y = 13
8 + 5y = 13 ( subtract 8 from both sides )
5y = 5 ( divide both sides by 5 )
y = 1
solution is (4, 1 )