Mathematics: Solve the system. 23x - 12y = 1 - 43x +y =-3

should be 45.6Step-by-step explanation:...

Solve the system. 23x - 12y = 1 - 43x +y =-3 - id231214334696463, cashmeout28

Nov25

16.01.2022

The values are $x=\frac{35}{493}$ and

$y=\frac{26}{493}$

The solution is ( $\frac{35}{493},\frac{26}{493}$ )

Step-by-step explanation:

Given equations are $23x-12y=1\hfill (1)$

$-43x+y=-3\hfill (2)$

To solve the given equations :

Multiply the equation (2) into 12 we get

$-516x+12y=-36\hfill (3)$ Now adding equations (1) and (3) we get

23x-12y=1

-516x+12y=-36

____________

-493x=-35

$x=\frac{35}{493}$

Substitute the value of $x=\frac{35}{493}$ in equation (1) we get

$23\times (\frac{35}{493})-12y=1$

$\frac{805}{493}-12y=1$

$-12y=1-\frac{805}{493}$

$-12y=\frac{-312}{493}$

$y=\frac{26}{493}$

Therefore the values are $x=\frac{35}{493}$ and

$y=\frac{26}{493}$

The solution is ( $\frac{35}{493},\frac{26}{493}$ )

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