Math, asked by ramisetty6797, 8 months ago

3x+45y=95 then find x and y

Answers

Answered by Ladylaurel
9

★ Question

3x + 45 = 95 then, find x and y

★ Solution

First let's solve for " x "

3x + 45y = 95

( adding - 45y to both sides )

⟹ 3x + 45y + ( - 45y ) = 95 - 45y

⟹ 3x = - 45y + 95

( dividing 3 with both sides )

\dfrac{3x}{3} = \dfrac{-45y+95}{3}

x = - 15y + \dfrac{95}{3}

Now, let's solve for " y "

3x + 45y = 95

( adding -3x to both sides )

⟹ 3x + 45y + ( -3x ) = 95 + ( - 3x )

⟹ 45y = - 3x + 95

( dividing 45 with both sides )

\dfrac{45y}{45} = \dfrac{-3x+95}{45}

⟹ y = \dfrac{-1}{15x} + \dfrac{19}{9}

★ Required Answer:

  • The value of x = - 15y + \dfrac{95}{3}

  • The value of y = \dfrac{-1}{15x} + \dfrac{19}{9}
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