Consider the following set of equations:
equation r: −3y = −3x – 9
equation s: y = x + 3
which of the following best describes the solution to the given set of equations?
no solution
one solution
infinite solutions
two solutions
2.consider the following set of equations:
equation m: y = x + 4
equation p: y = 3x + 6
which of the following is a step that can be used to find the solution to the set of equations?
x = 3x + 6
x + 4 = 3x + 6
x + 6 = 3x + 4
x = 3x

Part 1:

For this case we have the following equations:

We can rewrite the system of equations:

To do this, we divide equation 1 between -3:

Rewriting we have:

Therefore, we observe that we have two equal linear equations.

Thus, the lines are cut into infinite points.

The system then has endless solutions:

Infinite solutions

Part 2:

For this case we have the following equations:

We observe that we have two lines with different slopes, therefore, the system has only one solution.

The solution is obtained by matching both equations:

The following is a step that can be used to find the solution to the set of equations:

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24