Calculate the solution to these simultaneous equations using the elimination method: (1)(1)4𝑒+𝑓4e+f==44 (2)(2)𝑒−𝑓e−f==66
Question
Calculate the solution to these simultaneous equations using the elimination method: (1)(1)4𝑒+𝑓4e+f==44 (2)(2)𝑒−𝑓e−f==66
Solution
The given equations are:
(1) 4e + f = 4 (2) e - f = 6
Step 1: Align the equations so that like terms are vertically aligned:
4e + f = 4 e - f = 6
Step 2: Add the two equations together. This will eliminate one of the variables:
(4e + e) + (f - f) = (4 + 6) 5e = 10
Step 3: Solve for e:
e = 10 / 5 e = 2
Step 4: Substitute e = 2 into the first equation:
4(2) + f = 4 8 + f = 4 f = 4 - 8 f = -4
So, the solution to the system of equations is e = 2 and f = -4.
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