Question

X + 2y is equal to 4 ,4 x + 3 Y is equal to 10​

Answer 1

Question :-

Solve these equations

$\to \rm \: x + 2y = 4 \: \: and \: 4x + 3y = 10$

Answer :-

$\to \boxed{ \rm \: x = \frac{8}{5} \: \: and \: y = \frac{6}{5} }$

To Find :-

→ Value of x and y .

Solution :-

We have , and let

$\to \rm \: x + 2y = 4 \: ..... eq.(1) \\ \\ \to \rm \: 4x + 3y = 10 \: ..... \: eq.(2) \\ \\ \rm multiply \: by \: 4 \: in \: eq.(1) \: and \: then \: \\ \rm \: \: eq.(2) - eq.(1) \\ \\ \to \rm \: 4x + 3y - (4x + 8y) = 10 - 16 \\ \\ \to \rm \: 4x + 3y - 4x - 8y = - 6 \\ \\ \to \rm \: - 5y = - 6 \\ \\ \to \boxed{ \rm \: y = \frac{6}{5} } \\ \\ \rm \: put \: y = \frac{6}{5} \: in \: eq.(1) \\ \\ \to \rm \: x + 2 \times \frac{6}{5} = 4 \\ \\ \to \rm \: x = 4 - \frac{12}{5} \\ \\ \to \rm \: x = \frac{20 - 12}{5} \\ \\ \to \boxed{ \rm \: x = \frac{8}{5} } \\ \\ \rm \: hence \: \: x = \frac{8}{5} \: and \: y = \frac{6}{5}$

$\underline{ \red{\underline{\boxed{\sf verification \: }}}} \\ \\ \rm put \: x = \frac{8}{5} \: \: and \: y = \frac{6}{5} \: in \: eq.(1) \\ \\ \to \rm \frac{8}{5} + 2 \times \frac{6}{5} = 4 \\ \\ \to \rm \frac{8}{5} + \frac{12}{5} = 4 \\ \\ \to \: \frac{8 + 12}{5} = 4 \\ \\ \to \: \frac{20}{5} = 4 \\ \\ \to \: 4 = 4 \\ \\ \large \sf hence \: verified$

Answer 2

Answer:

x-2y=4 °°°°°°°°°°°° 1)

4x+3y=10°°°°°°°°°°°2)

multiply equation 1 by 4

4x -8y=16°°°°°°°°°°°3}

subtracting equation 2 from 3

4x -8y= 16

4x- 3y= 10

- + -

-5y=6

y=-6

5

now put the value of y in equation 1

then you will get the value of x

Step-by-step explanation:

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