Question

PLS HELP IM STUCK!Write each equation in standard form.1) x= -2/5y -142) 8x-16=10y3) x/2+y/10=24) 9(x-1)=y5) y+8= -3x+196) x=7y+1/4

Answer 1

5x + 2y = -70

Step-by-step explanation

The standard form of the equation of a line is:

`ax+by=c`

Where a, b and c are integers and a is positive.

For this problem first we have to put x and y on the same side of the equation, by adding 2/5y on both sides:

`\begin{gathered} x+(2)/(5)y=-(2)/(5)y+(2)/(5)x-14 \\ x+(2)/(5)y=-14 \end{gathered}`

The coefficient of x is positive, but the coefficient of y is not an integer. To make it an integer we have to multiply the whole equation by the denominator:

`5(x+(2)/(5)y=-14)`

And apply the distributive property:

`\begin{gathered} 5x+5\cdot(2)/(5)y=-14\cdot5 \\ 5x+2y=-70 \end{gathered}`