Based on the given system of equation, the value of y in the given system of equations is y = 10.
How to find the value of y in the given system of equations
To find the value of y in the given system of equations:
y = 0.5x + 14
x - y = -18
We can solve the system by substitution or elimination.
Let's use the substitution method:
From equation 1, we have y = 0.5x + 14. We can substitute this expression for y in equation 2:
x - (0.5x + 14) = -18
Simplify the equation:
x - 0.5x - 14 = -18
Combining like terms:
0.5x - 14 = -18
Add 14 to both sides:
0.5x = -18 + 14
0.5x = -4
Divide both sides by 0.5:
x = -4 / 0.5
x = -8
Now that we have the value of x, substitute it back into equation 1 to find the value of y:
y = 0.5x + 14
y = 0.5(-8) + 14
y = -4 + 14
y = 10
Therefore, the value of y in the given system of equations is y = 10.
Complete question
y = 0.5x + 14
x-y=-18
According to the system of equations above, what is the value of y?