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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.
Method to solve Simultaneous Equations with two or more than two variables Method Above we have seen equations wherein we are required to find the value of the
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