Check all of the points that are solutions to the system of inequalities y5x - 3 x<5

Check all of the points that are solutions to the system of inequalities y5x - 3 x<5
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1 Answer

 

5x - 2y = -5
y- 5x = 3 
Here are the Steps using Substition method
1. In either equation, solve for one variable in terms of the other. Since y- 5x = 3 is simplier than the other eqution, we will solve x in terms of y.
y- 5x = 3
y = 5x + 3


2. Substitute for that variable in the other equation. Solve.
5x - 2y = -5 , y = 5x + 3
5x - 2(5x+3) = -5
5x -10x - 6 = -5
-5x = 1
x = -1/5


3. Substitute the result from step 2 in either equation. Solve for the other variable.
y- 5x = 3, x = -1/5
y - 5(-1/5) = 3
y = 2

 

by Level 10 User (57.4k points)

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