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11 May, 22:43

Solve the system of equations.

y-10x=5

y=x^2+7x+5

+3
Answers (2)
  1. 11 May, 23:07
    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
  2. 12 May, 01:38
    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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