Question

Y=5x-2 and 3x-5y=4 using elimination

Answer 1

value of x is $x=\frac{3}{11}$ and value of y is $y=\frac{-7}{11}$

Step-by-step explanation:

We need to solve the system of equations by elimination

$y=5x-2\,\,\,(1) \\3x-5y=4\,\,\,(2)$

Solving the systems:

Rearranging equation(1)

$-5x+y=-2$

Multiply equation(1) with 5 and add with equation 2

$-25x+5y=-10\\\,\,3x-5y=4\\--------\\-22x=-6\\x=\frac{-6}{-22}\\x=\frac{3}{11}$

So, value of x is $x=\frac{3}{11}$

Now finding value of y

Multiply eq(1) with 3 and eq(2) with 5 and add both equations

$-15x+3y=-6\\15x-25y=20\\-------\\-22y=14\\y=\frac{14}{-22}\\y=\frac{-7}{11}$

So, value of y is $y=\frac{-7}{11}$

Keywords: System of Equations

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