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Calculate the solution to these simultaneous equations using the substitution method: (1)(1)2𝑟−𝑡2r−t==22 (2)(2)𝑡t==3𝑟3r

Question

Calculate the solution to these simultaneous equations using the substitution method: (1)(1)2𝑟−𝑡2r−t==22 (2)(2)𝑡t==3𝑟3r

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Solution

The equations you provided seem to be incorrectly formatted, making it difficult to understand them. However, I'll demonstrate how to solve a system of two equations using the substitution method with an example:

Let's say we have the following system of equations:

  1. 2r - t = 2
  2. t = 3r

Here's how you can solve it:

Step 1: Identify the equation that can be most easily expressed in terms of one variable. In this case, it's equation 2) t = 3r.

Step 2: Substitute equation 2) into equation 1). This means wherever you see 't' in equation 1), replace it with '3r'. Doing this gives us: 2r - 3r = 2. Simplifying this gives -r = 2.

Step 3: Solve for 'r'. To do this, multiply both sides of the equation by -1. This gives r = -2.

Step 4: Substitute 'r' back into equation 2) to solve for 't'. This gives t = 3*(-2) = -6.

So, the solution to the system of equations is r = -2 and t = -6.

This problem has been solved

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