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Katherine
Mathematics
18 May, 07:25
Solution to - 5x+3y=11. X-2y=2
+3
Answers (
1
)
Antony Villarreal
18 May, 07:38
0
( - 4, - 3)
Step-by-step explanation:
given the 2 equations
- 5x + 3y = 11 → (1)
x - 2y = 2 → (2)
rearrange (2) expressing x in terms of y by adding 2y to both sides, hence
x = 2 + 2y → (3)
substitute x = 2 + 2y in (1)
- 5 (2 + 2y) + 3y = 11
- 10 - 10y + 3y = 11
- 10 - 7y = 11 (add 10 to both sides)
- 7y = 21 (divide both sides by - 7)
y = - 3
substitute y = - 3 in (3) and evaluate for x
x = 2 - 6 = - 4
solution is ( - 4, - 3)
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