Question

Tobeg says the equation 3x + 2y= 270 and y=4/5x + 20 intersect at the point (50,60) is this true how do you know

Answer 1

Yes it is very true

Step-by-step explanation

If the two equations intersect at
`(50,60)` then this point must satisfy the two equations.

`3x+2y=270---(1)`

We substitute
`(50,60)` in to erquation (1)

`3(50)+2(60)=270`

`150+120=270`

`270=270`

`y=(4)/(5)x+20 ---(2)`

We now substitute
`(50,60)` in to erquation (2) also

`60=(4)/(5)(50)+20`

`60=40+20`

`60=60`

Since the point satisfy all the two equations, it is true that they intersect at
`(60,50)`