Hej ! Mam dwa przykłady z układów równań do rozwiązania . jest to zad 9/100 przykłady e i f . to jest
1/2x-3/4y=0
2/3 x + 1 1/4y=9 te dwa klamra
3x+4y=1 2/3
6x+3y=1 1/4 ( to w klamrze )
Tylko ma bys rozwiązane krok po kroku !
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e)![\left \{ {{\frac{1}{2}x-\frac{3}{4}y=0/*4} \atop {\frac{2}{3}x+\frac{5}{4}y}=9/*12 \right.\\ \\ \left \{ {2x-3y=0} \atop {8x+15y=108 \right.\\ \\ \left \{ {2x=3y/:2} \atop {8x+15y=108 \right.\\ \\ \left \{ {x=\frac{3}{2}y} \atop {8x+15y=108 \right.\\ \\ \left \{ {x=\frac{3}{2}y} \atop {8*\frac{3}{2}y+15y=108 \right.\\ \\ \left \{ {x=\frac{3}{2}y} \atop {27y=108/:27 \right.\\ \\ \left \{ {x=\frac{3}{2}*4} \atop {y=4} \right.\\ \\ \left \{ {x=6} \atop {y=4} \right.\\ \\ \left \{ {{\frac{1}{2}x-\frac{3}{4}y=0/*4} \atop {\frac{2}{3}x+\frac{5}{4}y}=9/*12 \right.\\ \\ \left \{ {2x-3y=0} \atop {8x+15y=108 \right.\\ \\ \left \{ {2x=3y/:2} \atop {8x+15y=108 \right.\\ \\ \left \{ {x=\frac{3}{2}y} \atop {8x+15y=108 \right.\\ \\ \left \{ {x=\frac{3}{2}y} \atop {8*\frac{3}{2}y+15y=108 \right.\\ \\ \left \{ {x=\frac{3}{2}y} \atop {27y=108/:27 \right.\\ \\ \left \{ {x=\frac{3}{2}*4} \atop {y=4} \right.\\ \\ \left \{ {x=6} \atop {y=4} \right.\\ \\](https://tex.z-dn.net/?f=%5Cleft+%5C%7B+%7B%7B%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B3%7D%7B4%7Dy%3D0%2F%2A4%7D+%5Catop+%7B%5Cfrac%7B2%7D%7B3%7Dx%2B%5Cfrac%7B5%7D%7B4%7Dy%7D%3D9%2F%2A12+%5Cright.%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7B2x-3y%3D0%7D+%5Catop+%7B8x%2B15y%3D108+%5Cright.%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7B2x%3D3y%2F%3A2%7D+%5Catop+%7B8x%2B15y%3D108+%5Cright.%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7Bx%3D%5Cfrac%7B3%7D%7B2%7Dy%7D+%5Catop+%7B8x%2B15y%3D108+%5Cright.%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7Bx%3D%5Cfrac%7B3%7D%7B2%7Dy%7D+%5Catop+%7B8%2A%5Cfrac%7B3%7D%7B2%7Dy%2B15y%3D108+%5Cright.%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7Bx%3D%5Cfrac%7B3%7D%7B2%7Dy%7D+%5Catop+%7B27y%3D108%2F%3A27+%5Cright.%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7Bx%3D%5Cfrac%7B3%7D%7B2%7D%2A4%7D+%5Catop+%7By%3D4%7D+%5Cright.%5C%5C+%5C%5C+%5Cleft+%5C%7B+%7Bx%3D6%7D+%5Catop+%7By%3D4%7D+%5Cright.%5C%5C+%5C%5C+)
f)
{3x+4y= 1 i 2/3
{6x+3y= 1 i 1/4
{3x=5/3-4y /:3
{6x+3y=1 1/4
{x=5/9-4/3y
{6(5/9-4/3y)+3y=1 1/4
{x=5/9-4/3y
{10/3-8y+3y=1 1/4
{x=5/9-4/3y
{-5y=1 1/4-3 1/3
{x=5/9-4/3y
{-5y=1 3/12-3 4/12
{x=5/9-4/3y
{-5y=-2 1/12/:(-5)
{x=5/9-4/3y
{y=-25/12*(-1/5)
{x=5/9-4/3y
{y=5/12
{x=5/9-4/3*5/12
{y=5/12
{x=5/9-5/9
{y=5/12
{x=0
{y=5/12