SOLUTION: 4x-y=5 4x+4y=-4 solve the linear system using subtraction

Question 982010: 4x-y=5 4x+4y=-4 solve the linear system using subtraction
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
......eq.1
......eq.2
------------------------------subtract eq.2 from eq.1

find
......eq.1

Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!

You have a linear system of two equations in two unknowns

.

Subtract the second equation from the first one. You will get a single equation in one unknown

-y - 4y = 5 - (-4), or

-5y = 5 + 4, or

5y = -9.

Hence, y = = -1.8.

Now, substitute this value of y into the first equation of the original system. You will have

4x - (-1.8) = 5,

4x = 5 - 1.8,

4x = 3.2,

x = = 0.8.

Answer. x = 0.8, y = -1.8.

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