JoshT1129
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(08.02)Which description best describes the solution to the following system of equations?

y = −2x + 3
y = −x + 6

A. Lines y = −2x + 3 and y = −x + 6 intersect the x-axis.
B. Lines y = −2x + 3 and y = −x + 6 intersect the y-axis.
C. Line y = −2x + 3 intersects the line y = −x + 6.
D. Line y = −2x + 3 intersects the origin.

Respuesta :

stuckinwonderland
I believe it's C. It's the most informative and they intersect at (-3, 9)
isyllus

Answer:

Line y = −2x + 3 intersects the line y = −x + 6 at (-3,9)

C is correct

Step-by-step explanation:

Given:

[tex]y=-2x+3[/tex]

[tex]y=-x+6[/tex]

We are given system of equation and need to solve.

First we find the solution of system of equation and then check the options.

Using substitution method to find x and y

[tex]-2x+3=-x+6[/tex]

[tex]-x=6-3[/tex]

[tex]x=-3[/tex]

Put x=-3 into y=-2x+3

y=-2(-3) + 3 = 9

Point of Intersection: (-3,9)

Hence, The system of equation intersect at (-3,9).

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