Simultaneous equations by substitution, Mathematics

Simultaneous equations by substitution:

Solve the subsequent simultaneous equations by substitution.

3x + 4y = 6      5x + 3y = -1

Solution:

Solve for x:

3x = 6 - 4y

x = 2- 4y /3

Substitute the value for x within the other equation:

5(2- 4y/3) + 3y = -1

10 - 20y/3 +3y = -1

 10- 20y/3 +9y/3 = -1

10-11y/3 = -1

-11y/3 = -11

y = 3

Substitute y = 3 into the first equation:

3x + 4(3) = 6

3x = -6

x = -2

Check the solution through substituting x = -2 and y = 3 into the original equations.

3x +4y = 6                   5x + 3y = -1

3(-2) +4(3) = 6            5(-2) + 3(3) = -1

-6 +12 = 6                   -10 + 9 = -1

6= 6                             -1 = -1

Therefore, the solution checks.

Posted Date: 2/9/2013 4:30:12 AM | Location : United States







Related Discussions:- Simultaneous equations by substitution, Assignment Help, Ask Question on Simultaneous equations by substitution, Get Answer, Expert's Help, Simultaneous equations by substitution Discussions

Write discussion on Simultaneous equations by substitution
Your posts are moderated
Related Questions
Find the center and radius of the circle whose equation is 3 x^2 - 8 x+ 3 y^2+ 4 y+ 2 = 0


Critical point of exponential functions and trig functions, Let's see some examples that don't just involve powers of x. Example:  find out all the critical points for the


how do you find the distance between the sun and earth

Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution

how do I solve 14/27 - 23/27 =

QUESTION (a) A bowl contains ten red balls and ten blue balls. A woman selects balls at random without looking at them. i) How many balls must she select to be sure of havin

Q. What is the probability of tossing a head? List the sample space for tossing a coin once. What is the probability of tossing a head? Solution:  If you tossed a coin once

A motor boat takes Six hours to cover 100 km downstream and 30 km  upstream. If the motor boat goes 75 km downstream and returns  back to its starting point in 8 hours, find the sp