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Paul [167]
3 years ago
15

Roxanne graphed this system of equations to find the solution.

Mathematics
2 answers:
Allisa [31]3 years ago
8 0

Answer:

(C) No, she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

The given equations are:

y=\frac{2}{3}x-5 and y=-2x+3

Now, for graphing both the equations, we use hit and trial method by substituting the various values of x in the given equations,

When x=0, y=0-5=-5, when x =3, y=2-5=-3

When x=0, y=3, when x=3, y=-6+3=-3

Thus, the solution of both the equations is (3,-3).

Hence, option (C) No, she use the wrong y intercepts when graphing the equations is correct.

Mice21 [21]3 years ago
5 0

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

y = \frac{2}{3}x-5         .....[1]

y = -2x+3         .           .....[2]

equate these two equations we get;

\frac{2}{3}x-5=-2x+3

Add 5 to both sides we get;

\frac{2}{3}x = -2x+8

Add 2x to both sides we have;

\frac{8}{3}x = 8

Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

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