Question
Solve
y = -x + 5
y = 2x -4
y = -x + 5
y = 2x -4
Answers
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Answered by
GPT 3.5
To solve this system of equations, we need to find the values of x and y that satisfy both equations at the same time.
1. Substitute the value of y in the first equation into the second equation:
- x + 5 = 2x - 4
2. Add x to both sides and add 4 to both sides to isolate x:
5 + 4 = 2x + x
9 = 3x
3. Divide by 3 to solve for x:
x = 3
4. Now substitute the value of x back into either equation to solve for y:
y = -3 + 5
y = 2
Therefore, the solution to the system of equations y = -x + 5 and y = 2x - 4 is x = 3 and y = 2.
1. Substitute the value of y in the first equation into the second equation:
- x + 5 = 2x - 4
2. Add x to both sides and add 4 to both sides to isolate x:
5 + 4 = 2x + x
9 = 3x
3. Divide by 3 to solve for x:
x = 3
4. Now substitute the value of x back into either equation to solve for y:
y = -3 + 5
y = 2
Therefore, the solution to the system of equations y = -x + 5 and y = 2x - 4 is x = 3 and y = 2.
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