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ankoles [38]
3 years ago
15

Y=-3x+12 Y=3x-6 How do I solve this step by step system of substitution

Mathematics
1 answer:
mart [117]3 years ago
5 0
\left \{ {{y=-3x+12} \atop {y=3x-6}} \right. \\\\ Equal\ both\ equations\\\\\
-3x+12=3x-6\ \ \ | subtract\ 3x\\\\
-6x+12=-6\ \ \ | subtract\ 12\\\\
-6x=-18\ \ \ | divide\ by\ -6\\\\
x=3\\
y=3*3-6=9-6=3
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3 years ago
Solve this quadratic equation by completing the square <br><br>x^2+8x=10
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8 0
3 years ago
Read 2 more answers
Help, please! ASAP!!​
In-s [12.5K]

Answer:

a) one solution

b) no solution

Step-by-step explanation:

Systems of equations can be described as having one solution, no solution or infinite solutions:

One solution:  'x' and 'y' are equal to only one value

No solution:  'x' and 'y' can not be solved with the given equations

Infinite solutions:  values for 'x' and 'y' include all real numbers

In order to evaluate the systems, putting them in the same format is your first step:

a) - y  = -5x - 6 or y - 5x = 6

   y - 5x = -6

Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.

b) y + 3x = -1

  y = 3x -1 or y - 3x = -1

Solving for 'y' by adding the equations and eliminating 'x', gives us:

2y = -2 or y = -1

Using y = -1 to plug back into an equation and solve for 'x':  -1 + 3x = -1 or x = 0.  Since 'x' and 'y' can be solved for a value, the system has just one solution.

5 0
3 years ago
If one of the variables in a linear inequality in two variables is not presented because its coefficient is understood to be 0,
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4 0
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dolphi86 [110]

Answer:

Step-by-step explanation:

\sqrt{g} = 7-w

(\sqrt{g} )^2 = (7-w)^2

g = (7-w)^2

3 0
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