Question

Please help...to answer all these questions pleaseeeee

Answer 1

Part A) x co-ordinate is -4

Part B) x =1 and y = 2

Explanation:

Part A

Given:

Two equations are given.

`y = -(2)/(3) x`

`4x-9y=-40`-----------(1)

Substitute
`y = -(2)/(3) x`-in equation 1

`4x-9(-(2)/(3) x)=-40`

`4x-(-(2* 9)/(3) x)=-40`

`4x-(-2* 3 x)=-40`

`4x-(-6x)=-40`

Apply rule
`-(-a)=a`

`4x+6x=-40`

`10x=-40`

`x=-(40)/(10)`

x=-4

Therefore, the coordinate of x is -4

Part B

Given:

Two equations are given:

`-5=x-3y`-------(1)

`11=-3x+7y`---------(2)

solve equation 1

`-5=x-3y`

`x=3y-5`----------(3)

substitute
`x=3y-5` in equation 2.

`11=-3(3y-5)+7y`

`11=-(9y-15)+7y`

`11=-9y+15+7y`

`11-15=-9y+7y`

`-4=-2y`

`4=2y`

`y=(4)/(2)`

y = 2

Now, we substitute y = 2 in equation 3.

`x=3(2)-5`

`x=6-5`

x = 1

Therefore, The value of y =2 and x = 1