Solve by Substitution y=x+3 , y=2x-1

Problem

{[y=x+3],[y=2*x−1])

Solution

1. Identify the two equations where y is already isolated in both expressions.

2. Substitute the expression for y from the first equation into the second equation to create an equation with only one variable.

x+3=2*x−1

3. Solve for x by subtracting x from both sides.

3=x−1

4. Isolate x by adding 1 to both sides.

4=x

5. Substitute the value x=4 back into the first original equation to find y

y=4+3

6. Calculate the value of y

y=7

Final Answer

(x,y)=(4,7)

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