Question

Solve the simultaneous equation
3x + y = 8
X - 3y = 11

Answer 1

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Answer 2

The values of x and y are $x=\frac{7}{2}$ and $y=-\frac{5}{2}$

Step-by-step explanation:

Given simultaneous equations are $3x+y=8\hfill (1)$ and

$x-3y=11\hfill (2)$

To solve the given equations by Elimination Method :

• That is to find the values of x and y
• Multiply the equation (2) into 3 we get
• $3x-9y=33\hfill (3)$
• Now solving the equations (1) and (3)

Subtracting the equations (1) and (3) we have that

$3x+y=8$

$3x-9y=33$

(-)_(+)__(-)_____

$10y=-25$

$y=-\frac{25}{10}$

Therefore $y=-\frac{5}{2}$

Now substitute the value of y in the equation (1) we have

• $3x+(-\frac{5}{2})=8$
• $3x=8+\frac{5}{2}$
• $3x=\frac{16+5}{2}$
• $3x=\frac{21}{2}$
• $x=\frac{21}{2}\times \frac{1}{3}$

Therefore $x=\frac{7}{2}$

The values of x and y are $x=\frac{7}{2}$ and $y=-\frac{5}{2}$