<prompt> Laini y frac-12x 745 imeainishwa katika muundoanzapmatrix x y mwishopmatrix mathbfv t mathbfd,ili kwa x le 7, umbali kati ya anzapmatrix x y mwishopmatrix na anzapmatrix 7 -2 endpmatrix ni t. Tafuta mathbfd.  <response>: Kuweka t 0, tunapataanzapmatrix x y endpmatrix mathbfv.Lakini umbali kati ya beginpmatrix x y endpmatrix na begin pmatrix 7 -2 mwishopmatrix ni t 0, hivyo mathbfv anzapmatrix 7 -2 endpmatrix. Hivyo,anzapmatrix x y mwishopmatrix anzapmatrix 7 -2 mwishopmatrix t mathbfd.Kisha kwa x le 7, kushoto anzapmatrix x - 7 y 2 mwishopmatrix kulia kushoto anzapmatrix x - 7 frac-12x 845 mwishopmatrix kulia kushoto anzapmatrix 1 -frac125 mwishopmatrix kulia 7 - x frac135 7 - x.Tunataka hii iwe t, hivyo t frac135 7 - x. Kisha x 7 - frac513 t, na y frac-12x 745 frac1213 t - 2, soanzapmatrix x y mwishopmatrix anzapmatrix 7 - frac513 t frac1213 t - 2 endpmatrix anzapmatrix 7 -2 mwishopmatrix t anzapmatrix -513 1213 mwishopmatrix.Hivyo, mathbfd anzapmatrix -513 1213 mwishopmatrix. 