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Chapter 3: Q28. (page 148)

28: Solve each system of equations.

e+f=42d+4e-f=-33e=-3

Short Answer

Expert verified

The solution is d=3,e=-1,f=5.

Step by step solution

01

Step-1 – Using the elimination to find the solution.

Given equations are-:

e+f=4......(1)2d+4e-f=-3......(2)3e=-3......(3)

From equation(3), we get

3e=-3e=-1

02

Step-2 – Putting the value of e in equation(1), we get

e+f=4-1+f=4f=4+1f=5

03

Step-3 – Substitute the value of e and f in equation with all three variables.

2d+4e-f=-32d+4(-1)-5=-32d-4-5=-32d=-3+92d=6d=3

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