Question

solve the linear equation
$2x + 3y = 2$
$4x + 5y = 7$

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Answer 1

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Q:-solve the linear equation

$2x + 3y = 2$

$4x + 5y = 7$

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$⇨2x + 3y = 2$

$⇨x = \frac{2 - 3y}{2} .....(1)$

Put the value of x in another equation:-

$⇨4x + 5y = 7$

$⇨4( \frac{2 - 3y}{2} ) + 5y = 7$

$⇨ \frac{8 - 12y}{2} + 5y = 7$

$⇨ 8 - 12y + 10y = 70$

$⇨ - 2y = 62$

$⇨y = - 31$

Now put the Y's value in equation 1:-

$x = \frac{2 - 3( - 31)}{2}$

$⇨ \frac{2 + 63}{2} = \frac{65}{2} ✓$

HOPE IT HELPS YOU..

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Answer 2

Answer:

Given - 2x + 3y = 2

4x + 5y= 7

To find - root of this equations

Solution -

Solving by Elimination method

2x + 3y = 2 ------- 1

4x + 5y = 7 --------2

Multipliying eq. 1 with 2 and eq. 2 with 1

2 ( 2x + 3y ) = 2 × 2

1 (4x + 5y) = 7 × 1

4x + 6y = 4 ------ 3

4x + 5y = 7 -------4

Subtract 3 from 4

y = (-3)

Putting value of y in eq. 1

2x + 3y = 2

2x + 3(-3) =2

2x - 9 = 2

2x = 2 + 9

2x = 11

x = 11/2

Hence , Value of y = (-3) and x = 11/2