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
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:
- 2r - t = 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.
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