Maths-
General
Easy
Question
Solve Each system : Explain your choice of Solution method
8X - 4Y = - 4
X= Y - 4
Hint:
HINT: Choose the correct method of solution and perform any arithmetic operation
and then find.
The correct answer is: get x=3 and y=7
SOLUTION:
Complete step by step solution:
We can use the method of elimination of the system of equations.
Let 8x-4y=-4…(i)
and x=y-4
⇒x-y=-4…(ii)
On multiplying (ii) with 4, we get 4(x-y=-4)
⇒4x-4y=-16…(iii)
Now, we have the coefficients of y in (i) and (iii) to be the same.
On subtracting (i) from (iii),
we get LHS to be 4x-4y-(8x-4y)=4x-8x=-4x
and RHS to be -16-(-4)=-12
On equating LHS and RHS, we have -4x=-12
⇒x=3
On substituting the value of x in (ii), we get 3-y=-4
⇒-y=-4-3
⇒-y=-7
⇒y=7
Hence we get x=3 and y=7
Note: We can also solve these system of equations by making the coefficients of
to be the same in both the equations.
Hence we get x=3 and y=7
Note: We can also solve these system of equations by making the coefficients of
to be the same in both the equations.
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