Answered

Pinadadali ng Imhr.ca ang paghahanap ng mga sagot sa iyong mga katanungan kasama ang isang aktibong komunidad. Maranasan ang kaginhawaan ng pagkuha ng mapagkakatiwalaang sagot sa iyong mga tanong mula sa isang malawak na network ng mga eksperto. Kumonekta sa isang komunidad ng mga eksperto na handang magbigay ng eksaktong solusyon sa iyong mga tanong nang mabilis at eksakto.

how to solve using elimination and substitution in systems of Linear Equations

Sagot :

lopo
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.Here is how it works. (I'll use the same systems as were in a previous page.)Solve the following system by substitution.2x – 3y = –2
4x +   y = 24The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:4x + y = 24
y = –4x + 24Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:2x – 3(–4x + 24) = –2
2x + 12x – 72 = –2
14x = 70
x = 5 Co
Salamat sa iyong pagbisita. Kami ay nakatuon sa pagtulong sa iyong makahanap ng impormasyon na kailangan mo, anumang oras na kailangan mo ito. Salamat sa pagbisita. Ang aming layunin ay magbigay ng pinaka-tumpak na mga sagot para sa lahat ng iyong pangangailangan sa impormasyon. Bumalik kaagad. Bisitahin muli ang Imhr.ca para sa pinakabagong sagot at impormasyon mula sa mga eksperto.