Answer:
x=4 and y= −7
Step-by-step explanation:
To solve the system of equations y=x−11 and y=−3x+5, you set the two expressions for y equal to each other because they both represent the same value of y.
x−11=−3x+5
Then, you solve for x by simplifying the equation:
1. Add 3x to both sides:
x+3x−11=5
2. Combine like terms:
4x−11=5
3. Add 11 to both sides:
4x=16
4. Divide both sides by 4:
x = 4
Now that we've found x, we substitute it back into either equation to find y. Using y=x−11:
y=4−11
y=−7
So, the solution is:
x=4 and y= −7.
