Algebra
SIMULTANEOUS EQUATIONS
Step 5.
Check the solution by substituting x = 6 and y = -3 into the other original
equation.
3x
5y
3
3(6)
5(
3)
3
18
15
3
3
3
Thus, the solution checks.
Quite often, when more than one unknown exists in a problem, the end result of the equations
expressing the problem is a set of simultaneous equations showing the relationship of one of the
unknowns to the other unknowns.
Example:
Solve the following simultaneous equations by substitution.
3x + 4y = 6
5x + 3y = -1
Solution:
Solve for x:
3x = 6 - 4y
x = 2 - 4y
3
Rev. 0
Page 39
MA-02
