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Question: which of the following represents the graph of the system of equations shown below:

x+y=3
5x-6y=6

Question: which of the following represents the graph of the system of equations shown-example-1

2 Answers

5 votes

Answer:

graph A

Explanation:

Dividing by the constant on the right lets you put each equation into intercept form:

x/3 + y/3 = 1

x/1.2 +y/(-1) = 1

These tell you the first equation has x- and y- intercepts of 3, so only graph A is appropriate. The second equation has an x-intercept of 1.2 and a y-intercept of -1, which also agrees with graph A.

_____

Intercept form is ...

x/x-intercept + y/y-intercept = 1

User Erin Walker
by
8.2k points
4 votes

Answer:

graph A

Explanation:

Dividing by the constant on the right lets you put each equation into intercept form:

  • x/3 + y/3 = 1
  • x/1.2 +y/(-1) = 1

These tell you the first equation has x- and y- intercepts of 3, so only graph A is appropriate. The second equation has an x-intercept of 1.2 and a y-intercept of -1, which also agrees with graph A.

_____

Intercept form is ...

x/x-intercept + y/y-intercept = 1

I find this form convenient for graphing when the equation is originally in standard form, as these are.

Question: which of the following represents the graph of the system of equations shown-example-1
User Mordi
by
8.6k points

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