Question

ADDITIONAL PROBLEMS TARGETING EXAMINATIONS
10. If the ordered pair (x2 - 1, y2 + 4) and (0, 4y) are equal find the values of x and y.
TIe
unn ordnrod nnirs 91 be equal iff​

Answer 1

Answer:

$( {x}^{2} - 1 \: , \: {y}^{2} + 4) = (0,4y)$

Solve separately

${x}^{2} - 1 = 0 \\ {x}^{2} = 1 \\ x = \pm1$

And

${y}^{2} + 4 = 4y \\ {y}^{2} - 4y + 4 = 0 \\ (y - 2) { }^{2} = 0 \\ y = 2$

So solution

$( \: \pm1 \: \: , \: \: 2\: \: )$