Solve by substitution:
y=x-4
x+y=14
Let's rewrite that as
y - x = -4
y + x = 14
Add those two equations to get
2y = 10
That tells you that y=5
Use either of the orginal equations to get x.
y=x-4
x+y=14
x+(x-4)=14
x+x-4=14
2x=18x
x=9
check answer
x+(x-4)=14
9+9-4=14
18-4=14
14=14
so 9 is your correct answer
To solve the system of equations by substitution, we will solve one equation for one variable and then substitute that expression into the other equation.
Let's solve the first equation for y:
y = x - 4
Now, substitute this expression for y in the second equation:
x + (x - 4) = 14
Combine like terms:
2x - 4 = 14
Add 4 to both sides:
2x = 18
Divide both sides by 2:
x = 9
Now, substitute the value of x back into the first equation to solve for y:
y = 9 - 4
y = 5
Therefore, the solution to the system of equations is x = 9 and y = 5.