Question

3x - 5y = 16 ; x - 3y = 8
Solve the above simultaneous equation.​

Answer 1

Answer:

The solution of the simultaneous linear equation is (3,1).

Step-by-step explanation:

Step 1 of 3

Obtain an expression for x  in the first linear equation.

From the given equation,  

x = 4 -y ……(1)

Step 2 of 3

Substitute equation (1) in the second linear equation to obtain value of y

2(4-y)-5y=1

8-7y=1

y=1

Step 3 of 3

Substitute value of y in equation (1), to obtain value of x

x=4-1

x=3

Answer 2

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$\sf{3x - 5y = 16 - - - ( \times 3)} \\ \\ \sf{x - 3y = 8 - - - ( \times 5)}$

Solving equations simultaneously, we get,

$\sf{9x - 15y = 48} \\ \\ \sf{5x - 15y = 40} \\ \\ - - - - - - - - \\ \\ \longrightarrow\sf{4x = 8} \\ \\ \longrightarrow\sf{x = \frac{8}{4} } \\ \\ \longrightarrow\sf{x = 2}$

Placing x = 2 in equation (1), we get,

$\longrightarrow\sf{3(2) - 5y = 16} \\ \\ \longrightarrow\sf{6 - 5y = 16} \\ \\ \longrightarrow\sf{ - 5y = 16 - 6} \\ \\ \longrightarrow\sf{ - 5y = 10} \\ \\ \longrightarrow\sf{y = \frac{10}{ - 5}} \\ \\ \longrightarrow\sf{y = - 2}$

• Thus, the values of (x,y) = (2,2)