Calculate points of intersection of the following two pairs of equations.

y=5x+6 and y=9x-32

y=-0,5x+1,5 and y=-4(x-3)

Guest Feb 1, 2018

#1**+2 **

We need the point(s) where y = 5x+6 equals y = 9x-32

or 5x+6 = 9x-32 solve for x add 32 to each side of the equation

5x+38 = 9x subtract 5x from both sides

38 = 4 x

9.5 = x Now substitute theis 'x' into one of the equations to find 'y'

y= 5(9.5) +6 y= 53.5 so x,y = 9.5 , 53.5

(you can sub 'x' in to the other equation to see if you get the same result as a check)

0.5x+1.5= -4(x-3)

= -4x +12 add 4x to both sides

4.5x +1.5 =12 Subtract 1.5 from both sides

4.5x = 10.5 Divide by 4.5

x = 2 1/3

then sub this 'x' in to one of the other equations to find 'y'

y=-4(x-3)=-4x+12

= -4 (2 1/3) + 12 = 2 2/3 x,y = 2 1/3 , 2 2/3

ElectricPavlov Feb 1, 2018

#1**+2 **

Best Answer

We need the point(s) where y = 5x+6 equals y = 9x-32

or 5x+6 = 9x-32 solve for x add 32 to each side of the equation

5x+38 = 9x subtract 5x from both sides

38 = 4 x

9.5 = x Now substitute theis 'x' into one of the equations to find 'y'

y= 5(9.5) +6 y= 53.5 so x,y = 9.5 , 53.5

(you can sub 'x' in to the other equation to see if you get the same result as a check)

0.5x+1.5= -4(x-3)

= -4x +12 add 4x to both sides

4.5x +1.5 =12 Subtract 1.5 from both sides

4.5x = 10.5 Divide by 4.5

x = 2 1/3

then sub this 'x' in to one of the other equations to find 'y'

y=-4(x-3)=-4x+12

= -4 (2 1/3) + 12 = 2 2/3 x,y = 2 1/3 , 2 2/3

ElectricPavlov Feb 1, 2018