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babunello [35]
3 years ago
6

What are the solutions to the system of equations?

Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

Answer:

A. (0, 6) and (−2, 0)

Step-by-step explanation:

The given equations are:

y=x^2+5x+6

and

y=3x+6

We equate the two equations to find their point of intersection;

x^2+5x+6=3x+6

We equate everything to zero to get;

x^2+2x=0

x(x+2)=0

x=0,x=-2

When x=0, y=3(0)+6=6

One solution is;

(0,6)

When x=-2,

y=3(-2)+6=0

Another solution is;

(-2,0)

Volgvan3 years ago
6 0

you can just plug in the x’s to find the y’s.

for example, you can plug in (0,6) into y=x^2+5x+6 by placing the 0 from the point where the x’s are to see if it gives you 6 (the ‘y’ term in the point)

this would look like y=(0)^2+5(0)+6

when you type this in, if it gives you 6 as the answer, then (0,6) is a solution

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Step-by-step explanation:

Here, the given question is INCOMPLETE.

Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for 17 years longer than she has owned the van. If the sum of the ages of the vehicles is 41 years, how old is the van and how old is the truck?

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