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

Problem

{[y=−x+3],[y=2*x−1])

Solution

1. Substitute the expression for y from the first equation into the second equation.

2*x−1=−x+3

2. Add x to both sides of the equation to group the variable terms.

3*x−1=3

3. Add 1 to both sides to isolate the term with x

3*x=4

4. Divide by 3 to solve for x

x=4/3

5. Substitute the value of x back into the first equation to find y

y=−4/3+3

6. Simplify the expression by finding a common denominator.

y=−4/3+9/3

y=5/3

Final Answer

(x,y)=(4/3,5/3)

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