According to the meaning of the question:
{X+Y=35,…①
{24X+ 18Y=750,…②
Then ②: 4x+3y = 125...③,
①×3-③ Get: -X=-20,X=20,
Substitute X=20 into ① to get Y= 15.
A:
5. (1) Equations:
{3X-Y=8……①
{3X-5Y=-20……②
①-②: 4Y=28,Y=7,
Substitute Y=7 into ①: 3x-7 = 8, X=5,
∴ The solution of the original equation is:
{X=5
{Y=7 .
(2) Transform the original equation into:
{8u+9v=6……①
{24u+25v= 14……②
①×3-②: 2v=4,v=2,
Substitute v=2 into ①: 8u+ 18 = 6 and u=-3/2.
{u=-3/2
{v=2 .