Give+an+example+of+a+system+of+equations+that+has+no+solutionSet3

solve, and show the graph and analytical solution. y = x2 + 5 y = x2 -2

Solving using linear combination:

y=x2 + 5 + -y= -x2 + 2 0 ≠ 7 Since both parabolas have the same rate of climb (x2) and have the same axis of symmetry, they will never intersect. Although the inner parabola (see below) is expanding, the outer parabola is expanding as well. Graph: