Question 430099: Solve the system by elimination or substitution.Show all steps.
-15x+3y=6
y=2+5x Found 2 solutions by stanbon, haileytucki:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! -15x+3y=6
y=2+5x
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Substitute for "y" and solve for "x":
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-15x + 3(2+5x) = 6
-15x+6+15x = 6
6 = 6
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That means x can take any value.
The solution is the set of points (x, 2+5x)
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It means the two equations are really the same equation.
It means the system of equations is dependent.
It means the graph of the two equations only gives
you one line.
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Cheers,
Stan H.
You can put this solution on YOUR website! -15x+3y=6_y=2+5x
Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 5x+2.
-15x+3(5x+2)=6_y=5x+2
Multiply 3 by each term inside the parentheses.
-15x+15x+6=6_y=5x+2
Since -15x and 15x are like terms, subtract 15x from -15x to get 0.
0+6=6_y=5x+2
Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
6=6_y=5x+2
Since 6=6, the equation will always be true.
Always True_y=5x+2
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