3 years ago

The graph of a system of equations will intersect at exactly 1 point?

1 answer:

andrey2020 [161]3 years ago

4 0

Answer:

A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept. A system of equations can intersect at one point; this is when the lines have different slopes.

Step-by-step explanation:

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use the elimination method to solve the system of equations.choose the correct ordered pair. -3y=x-5 x+5y=7.

Paraphin [41]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}-3y=x-5&\text{subtract x from both sides}\\x+5y=7\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-3y=-5\\x+5y=7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=2\qquad\text{divide both sides by 2}\\.\qquad\qquad y=1\\\\\text{Put the value of y to the second equation:}\\x+5(1)=7\\x+5=7\qquad\text{subtract 5 from both sides}\\x=2$