Question

tobey says the equations 3x+2y=270 and y=4/5x+20 intersect at the point (50,60).Is this true?how do you know? Be clear and complete

Answer 1

Plug in the point to find out!
Step 1: Fill in the x and y values. x=50 and y=60
3x+2y=270 —> 3(50)+2(60)=270
y=4/5x+20 —> 60=4/5(50)+20

Step 2: solve the filled in equations.
3(50)+2(60)=270 —> 150+120=270
60=4/5(50)+20 —> 60-20=4/5(50)+20-20 —> 40=4/5(50) —> 40=0.8(50) —> 40=40

Answer: It is equivalent because it works for both equations, so it does intersect the pint (50,60).