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Mathematics
Allison Fritz
25 June, 22:52
Solve the system of equations y=4x+1, y=x2+2x-2
+2
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Edith
25 June, 23:09
0
Option d is the answer to your question
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Freddy Mercado
26 June, 00:17
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Option D
(-1,-3) and (3,13)
Given in the question two equations
y = 4x + 1
y = x² + 2x - 2
Equate both functions
4x + 1 = x² + 2x - 2
rearrange the x term and constant
-x² + 4x - 2x + 2 + 1 = 0
-x² + 2x + 3 = 0
factors
-x * 3x = - 3x²
-x + 3x = 2x
-x² - x + 3x + 3 = 0
-x (x+1) + 3 (x+1) = 0
solve
(x+1) (3-x) = 0
x = - 1
and
x = 3
Plug these values in equation to find y
x = - 1
y = 4 (-1) + 1
y = - 3
x = 3
y = 4 (3) + 1
y = 13
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