Question

solve for x any y 4x-15y=65 ,3x+2y=9
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Answer 1

Answer is in Attachment......................

Answer 2

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Given:

4x - 15y = 65

3x + 2y = 9

To find:

Value of x and y = ?

Solution:

4x - 15y = 65 ---(1)

3x + 2y = 9 ---(2)

From (2)

3x = 9 - 2y

$\\ \\ x = \dfrac{9 - 2y}{3} \\ \\ substituting \: \: value \: of \: x \: in \: \\ equation \: (1) \\ \\ 4 \times \dfrac{9 - 2y}{3} - 15y = 65$

$\\ \\ \dfrac{36 - 8y}{3} - 15y = 65 \\ \\ \dfrac{36 - 8y - 45y}{3} = 65 \\ \\ 36 - 8y - 45y = 65 \times 3\\ \\ 36 - 8y - 45y = 195$

$\\ \\ 36 - 53y = 195 \\ \\ - 53y = 195 - 36 \\ \\ - 53y = 159 \\ \\ y = \dfrac{159}{ - 53} \\ \\ y = - 3$

Substituting value of y in equation (2)

3x + 2y = 9

3x + 2(-3) = 9

3x - 6 = 9

3x = 9 + 6

3x = 15

$\\ \\ x = \dfrac{15}{3} \\ \\ x = 5$

Answer:

Thus, value of x = 5 and y = -3

Verification:

If we substitute value of x and y and if it equals to given number then our answer is correct

3x + 2y = 9

3 × (5) + 2 × (-3) = 9

15 - 6 = 9

9 = 9

LHS = RHS

Basic point:

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