Select the equations that are linear equations(10 points)Responses6x+6=11x6 x plus 6 is equal to 11 x6x+6=66 x plus 6 is equal to 66x2+6=66 x squared plus 6 is equal to 66x4=5x
The linear equations are:
6x + 6 = 11x
6x + 6 = 66
5x = 4
x=99 (10 points)x=
x = 99 is a linear equation as it only includes a variable (x) and a constant (99).
x−19=−81 (10 points)x=
x - 19 = -81
Solving for x:
Add 19 to both sides:
x - 19 + 19 = -81 + 19
x = -62
Therefore, x = -62 is the solution to the equation.
5x=42 (10 points)x =
To solve the equation 5x = 42 for x, we need to isolate the variable x.
Divide both sides of the equation by 5:
5x/5 = 42/5
x = 8.4
Therefore, x = 8.4 is the solution to the equation.
y−3=−6 (10 points)y=
To solve the equation y - 3 = -6 for y, we need to isolate the variable y.
Add 3 to both sides of the equation:
y - 3 + 3 = -6 + 3
y = -3
Therefore, y = -3 is the solution to the equation.