Question

What is the solution to the following system of equations?

y = x^2+ 10x + 11
y = x^2+ x-7

O(-2,-5)
O (2,-5)
• (-2,5)
O (2,5)

Answer 1

(—2,—5)

SOLUTION:

Explanation:

y = x² + 10x + 11 ..........(i)

y = x² + x — 7 .................(ii)

x² +10x + 11 = x² + x —7

x² cancels ///

10x + 11 = x —7

10x —x = —7—11

9x = —18 // divide through by 9//

x = —2 .

y = x² + 10x +11

y = (—2)² + 10(—2) + 11 =>

y = 4 —20 + 11

y = —5