Question

3. 3х - 5y = 19, 7x - Зу = 1. Solve by the cross multiplication method.​

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Answer 1

Answer:

• x = -2
• y = -5

Step-by-step explanation:

${\small{\sf{ 3x - 5y = 19 }}} \\ {\small{\sf{\implies{3x - 5y - 19 = 0 \cdots Eq^n (1)}}}}$

${\small{\sf{ 7x - 3y = 1 }}} \\{\small{\sf{\implies{7x-3y-1 = 0 \cdots Eq^n (2) }}}}$

By cross multiplication of equation (1) by equation (2) . We get,

${\small{\sf{\implies{ \dfrac{x}{5 - 57} = \dfrac{y}{-133 - (-3)} = \dfrac{1}{-9-(-35)} }}}}$

${\small{\sf{\implies{ \dfrac{x}{-52} = \dfrac{y}{136} = \dfrac{1}{26} }}}}$

${\small{\sf{\implies{ x = \dfrac{-52}{26}}}}}$

${\small{\sf{\implies{ x = -2}}}}$

Put the value of x in equation (2)

→ 7x - 3y - 1 = 0

→ 7(-2) - 3y - 1 = 0

→ -14 - 1 - 3y = 0

→ -15 - 3y = 0

→ -3y = 15

→ y = 15/-3

→ y = -5

${\small{\underline{\frak{\purple{ x = -2 \: and \: y = -5}}}}}$