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vfiekz [6]
3 years ago
14

Solve the following equation 5x-3(x-2)=10+x

Mathematics
1 answer:
Lerok [7]3 years ago
6 0
<h2>Solving Equations</h2><h3>Answer:</h3>

x = 4

<h3>Step-by-step explanation:</h3>

5x -3(x -2) = 10 +x \\ 5x -3x +6 = 10 +x \\ 2x +6 = 10 +x \\ 2x +6 -x = 10 +x -x \\ x +6 = 10 \\ x +6 -6 = 10 -6 \\ x = 4

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Step-by-step explanation:

y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.

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It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions.

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