Question

y = 5x + 6
y = −x − 7

Which description best describes the solution to the system of equations?
Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis. Lines y = 5x + 6 and y = −x − 7 intersect the y-axis. Line y = 5x + 6 intersects the origin.

Answer 1

someone please help me

Answer 2

Eliminate the equal side of each equation and combine.
5x+6=-x-7

6x+6=-7
y=-x-7

6x=-13
y=-x-7

\[y= -\frac{ 13 }{ 6 }\]
\[y=-(-\frac{ 13 }{ 6 })-7\]

\[x=-\frac{ 13 }{ 6 }\]
\[y=-\frac{ 29 }{ 6 }\]

Answer 3

so they intersect each other?

Answer 4

yeah in the negative quadrant

Answer 5

ok thank you so much