A system of equations is shown on the graph below. How many solutions does this system have?

Mathematics

2 answers:

Lapatulllka [165]3 years ago

7 0

Answer:

$\boxed{1 \: \: \mathrm{solution}}$

Step-by-step explanation:

The point where two lines intersect is the solution to the system of equations.

The two lines intersect at (-1, 2).

x = -1

y = 2

y = 2x + 4

y = -x + 1

Plug y as -x+1 in the first equation.

-x + 1 = 2x + 4

-x - 2x = 4 - 1

-3x = 3

x = -1

Plug x as -1 in the second equation.

y = -(-1) + 1

y = 1 + 1

y = 2

mr Goodwill [35]3 years ago

6 0

Answer:

Hey there!

Only one solution, because they intersect at only one point.

Hope this helps :)

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As you can see all the possible answers have the same form:

$g(x)=ax^2$

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following: