Answer:
l = 14 , w = 12
Step-by-step explanation:
2l + 2w = 52 → (1)
l - w = 2 → (2)
multiplying (2) by 2 and adding to (1) will eliminate the w- term
2l - 2w = 4 → (3)
add (1) and (3) term by term to eliminate w
4l + 0 = 56
4l = 56 ( divide both sides by 4 )
l = 14
substitute l 14 into either of the 2 equations and solve for w
substituting into (1)
2(14) + 2w = 52
28 + 2w = 52 ( subtract 28 from both sides )
2w = 24 ( divide both sides by 2 )
w = 12
