Given B is between A and C, find the value of x if AB = 22, BC = 16x, and AC = 182.

10

Step-by-step explanation:

Since we know that B is between A and C, it doesn't matter where B is, but, we are sure that AB plus BC equals AC. In an equation:

We know that AB is 22, BC is 16x, and AC is 182. Substitute:

Now, find the value of x. Subtract 22 from both sides:

Divide both sides by 16:

So, the value of x is 10.

And we're done!

Step-by-step explanation:

Start with:

Substitute in your values.

Subtract from both sides of the equation.

Combine like terms.

Divide by the coefficient of , which in this case is .

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18