Mount3bank
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The first equation of the system is multiplied by 4. By what number would you multiply the second equation in order to eliminate the x variable by adding?
3x-2y=4
4x+5y=28

Sagot :

HugoDaflon
Since you've multiplied the firs equation by 4 you have a 12x. So you must found a number that multiplied by the 4x in the second equation will result in -12x. Concerning that the negative signal turns the number to negative, you come to the answer -3 (Minus three)
luana
[tex] \left \{ {{3x-2y=4\ \ \ |*4} \atop {4x+5y=28}} \right. \\\\ \left \{ {{12x-8y=16} \atop {4x+5y=28}} \right.\\\\To\ eliminate\ by\ adding\ multiply\ second\ equation\ by\ -3\ to\\ obtain\ -12x\\\\ \left \{ {{12x-8y=16} \atop {-12x-15y=-84}} \right.\\+----\\Addition:\\\\ -8y-15y=16-84\\ -33y=-68\\ y=\frac{68}{33}\\ 4x=28-5y\\ x=\frac{28-5y}{4}=\frac{28-5*\frac{68}{33}}{4}=\frac{1}{4} [/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.