Raneki7p9anbrie
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Consider the following system of equations:


y = −2x + 3

y = x − 5


Which description best describes the solution to the system of equations?


Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.


Line y = −2x + 3 intersects line y = x − 5.


Lines y = −2x + 3 and y = 3x − 5 intersect the y-axis.


Line y = −2x + 3 intersects the origin.

Verified Answer :

lublana

Answer:

Line\(y=-2x+3\) intersects line \(y=x-5\)

Step-by-step explanation:

We are given that

\(y=-2x+3\)

\(y=x-5\)

Subtract one equation from other then we get

\(-3x+8=0\)

\(3x=8\)

\(x=\frac{8}{3}\)

Substitute the value of x in first equation then we get

\(y=-2(\frac{8}{3})+3=-\frac{16}{3}+3=-\frac{-7}{3}\)

Hence, the solution \((\frac{8}{3},-\frac{7}{3})\) is the intersection point of two line  equations .

Answer:Line\(y=-2x+3\) intersects line \(y=x-5\)

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