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Mathematics
Taylor Alvarado
12 December, 19:31
2x - 3y = 13 x + 2y = - 4
+3
Answers (
1
)
Lacey Gray
12 December, 22:29
0
(2, - 3)
Step-by-step explanation:
Given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = - 4 - 2y → (3)
Substitute x = - 4 - 2y into (1)
2 ( - 4 - 2y) - 3y = 13 ← distribute and simplify left side
- 8 - 4y - 3y = 13
- 8 - 7y = 13 (add 8 to both sides)
- 7y = 21 (divide both sides by - 7)
y = - 3
Substitute y = - 3 into (3) for corresponding value of x
x = - 4 - 2 ( - 3) = - 4 + 6 = 2
Solution is (2, - 3)
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