Mathematics: Solve each system by substitution 14x-35=7y -25-6x=5y

Solve each system by substitution 14x-35=7y -25-6x=5y

john67728

11.03.2022

The solution of the system will be: x=0, y= -5

Step-by-step explanation:

The given system of equation is......

$14x-35=7y ...................................(1)\\ \\ -25-6x=5y..................................(2)$

First, solving for in the equation (1) ........

$\frac{14x-35}{7}= \frac{7y}{7} \\ \\ y=2x-5$

Now, substituting this y=2x-5 into equation (2), we will get........

$-25-6x=5(2x-5)\\ \\ -25-6x=10x-25\\ \\ -25+25=10x+6x\\ \\ 0=16x\\ \\ x=\frac{0}{16}=0$

Plugging x=0 into y=2x-5 , we will get.......

y=2(0)-5= -5

So, the solution of the system will be: x=0, y= -5

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