Question

for the simultaneous equations x_y=2=x+7=?​

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

Let

x+y

1 =a;

x−y

1 =b

So the equations are

16a+2b=1 ...(1)

8a−12b=7 ...(2)

Eqn (2) ×2

⇒16a−24b=14 ....(3)

Subtracting eq(1) and eq(3) we get

26b=−13⇒b=− 2

1

Eqn (1) ×6⇒96a+12b=6 ....(4)

Adding eqn(4) and eq(2)

104a=13

∴a= 8

1

x+y=1

8

1

x+y=8 ...(5)

x−y

1

= −2

1

x−y=−2 ...(6)

Adding eq(5) and eq(6)

2x=6⇒x=3

Substitute for x in eqn(5)

∴y=8−3=5