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Given that 2r + 7 = 27 and 3r + 1 = 28, does 2x + 7 = 3x + 1? Explain.

User Gkubed
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Final answer:

To determine if 2x + 7 = 3x + 1, solve the given equations for the value of r and substitute it into the equation to determine if it holds.

Step-by-step explanation:

To determine if 2x + 7 = 3x + 1, we can use the given equations to solve for the value of r and then substitute it into the equation.

First, solve the equation 2r + 7 = 27:
2r + 7 = 27
2r = 27 - 7
2r = 20
r = 10

Now, solve the equation 3r + 1 = 28:
3r + 1 = 28
3r = 28 - 1
3r = 27
r = 9

Since r has different values in the two equations, we can conclude that 2x + 7 does not equal 3x + 1.

User Sameer Arora
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