Question

4x+y= -1 and 7x+y= -4 by elimination method.​

Answer 1

Answer:

4x+y = -1............(i)

7x+y = -4.............(ii)

Subtracting (i) from (ii),

7x + y - 4x - y = -4+1

3x = -3

x = -3/3

x = -1

Putting value of x in (i),

4(-1) + y = -1

-4 + y = -1

y = -1+4

y = 3

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Step-by-step explanation:

Answer 2

ANSWER:

• x = - 1
• y = 4

GIVEN:

• 4x + y = - 1

• 7x + y = - 4

TO:

• Solve by elimination method.

EXPLANATION:

• 4x + y = - 1 ---------> 1

• 7x + y = - 4 ----------> 2

Subtract the two equations

$4x \:\:\:+\:\:\: y = \:\:\:- 1 \\ \\ \\ 7x\:\:\: + \:\:\:y = \:\:\:- 4 \\ \\ \\ ( - ) \: \: \: \: \: ( - ) \: \: \: \: \: \:\:( + )\\ \\ \underline{ \qquad\qquad\qquad\qquad\qquad} \\ \\ - 3x +\:\:0\:\:\:=\:\:\:3 \\ \\ \underline{ \qquad\qquad\qquad\qquad\qquad}$

x = - 1

Substitute x = - 1 in equation 1

4(-1) + y = - 1

- 4 + y = - 1

y = 3

VERIFICATION:

Substitute x = - 1 and in y = 3 equation 2

7(-1) + 3 = - 4

- 7 + 3 = - 4

- 4 = - 4

HENCE PROVED.