Question

3x-5y=16;x-3y=8 substitution method​

Answer 1

Answer:

$3x - 5y = 16 \\ 3x = 16 + 5y \\ x = \frac{16 + 5y}{3} - - - - (i)\: \\put \: eq.(i)\: in \: x - 3y = 8 \\ \frac{16 + 5y}{3} - 3y = 8 \\ \frac{16 + 5y - 9y}{3} = 8 \\ 16 - 4y = 3 \times 8 \\ 16 - 4y = 24 \\ - 4y = 24 - 16 \\ - 4y = 8 \\ y = \frac{8}{ - 4} \\ y = - 2 - - - - (ii)\\ put \: the \: value \: of \: y \: in \: (i) \\x = \frac{16 + 5( - 2)}{3} \\ x = \frac{16 - 10}{3} \\ x = \frac{6}{3} \\ x = 2$

Answer 2

Answer:

Hey mate here is your answer :

Step by step solutions :

Here are two equations are given :

3x - 5y = 16 ....(i)

x - 3y = 8 ....(ii)

Substitute (ii) equation

x = 8 + 3y .....(iii)

Put the value of x on (i) equation :

3(8+3y) - 5y = 16

24 + 9y - 5y = 16

24 + 4y = 16

4y = 16 - 24

4y = -8

y = -2

Now, put the value of y on (iii) equation

x = 8 + 3(-2)

x = 8 - 6

x = 2

Thus the value of x is 2 and y is -2 .

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