Question

PLEASE HELP 100 POINTS!!

Answer 1

Answer:

y = x^2 + 5x -3

y-x =2

Replace y in the second equation with the first one:

x^2 + 5x -3 - x = 2

Simplify by combining like terms:

x^2 + 4x -3 = 2

Subtract 2 from both sides:

x^2 + 4x -5 = 0

Fctor the polynomial:

(x-1) (x+5) = 0

Solve for both X's:

x = 1 and x = -5

Now replace x in the second equation with both value and solve for y:

y -1 =2, y = 3

y - -5 =2, y +5 = 2, y = -3

Now combine the sets of answers:

(1,3) and (-5,-3)

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Step-by-step explanation:

Answer 2

y = x^2 + 5x -3

y-x =2

Replace y in the second equation with the first one:

x^2 + 5x -3 - x = 2

Simplify by combining like terms:

x^2 + 4x -3 = 2

Subtract 2 from both sides:

x^2 + 4x -5 = 0

Fctor the polynomial:

(x-1) (x+5) = 0

Solve for both X's:

x = 1 and x = -5

Now replace x in the second equation with both value and solve for y:

y -1 =2, y = 3

y - -5 =2, y +5 = 2, y = -3

Now combine the sets of answers:

(1,3) and (-5,-3)