+0

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

0
53
1

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
+11453
+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
edited by ElectricPavlov  Feb 1, 2018
Sort:

#1
+11453
+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
edited by ElectricPavlov  Feb 1, 2018

### 18 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details