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Greta Patton
Mathematics
27 April, 11:38
Solve the system of equations.
y-10x=5
y=x^2+7x+5
+1
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2
)
Jamari Tanner
27 April, 11:43
0
see explanation
Step-by-step explanation:
Given the 2 equations
y - 10x = 5 → (1)
y = x² + 7x + 5 → (2)
From (1) express y in terms of x by adding 10x to both sides
y = 10x + 5 → (3)
Substitute y = 10x + 5 into (2)
10x + 5 = x² + 7x + 5 (subtract 10x + 5 from both sides)
0 = x² - 3x (take out common factor of x), hence
x (x - 3) = 0
Equate each factor to zero and solve for x
x = 0
x - 3 = 0 ⇒ x = 3
Substitute these values into (3) for corresponding values of y
x = 0 : y = 0 + 5 = 5 ⇒ (0, 5) is a solution
x = 3 : y = 30 + 5 = 35 ⇒ (3, 35) is a solution
Solutions are (0, 5), (3, 35)
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Pierce Gentry
27 April, 12:08
0
x = 0,3
Step-by-step explanation:
y-10x=5 move - 10x to the other side to get y by itself
y=10x+5 then you would substitute this equation into the other equation where you see y
10x+5=x^2+7x+5 move everything to one side
0=x^2+7x+5-10x-5 combine like terms
0=x^2-3x factor
0 = x (x-3) set each equal to zero
x=0
x-3 = 0 add 3 to both sides
x = 3
the answer is x=0 and x=3
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