Question

Jenny is solving the equation 3x+5=x+2 using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which explains which Jenny should do first? a.She should add 3 negative x-tiles first because that is the only way to isolate the variable.
b.She should add 2 negative unit tiles first because that is the only way to get to the correct solution.
c.She can do either one first because zero pairs will be created to isolate the variable either way.
d.She should do neither one first because the first step is to add 4 negative tiles to both sides

Answer 1

Answer:

c.she can do either one first because zero pairs will be created to isolate the variable wither way.

Step-by-step explanation:

We are given that an equation

$3x+5=x+2$

We have to find the step which Jenny should do first.

If we add first -2 on both sides

Adding -2 on both sides then, we get

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

$3x+5-2=x$

$3x+3=x$

Now, add -3x on both sides then we get

$3x+3+(-3x)=x+(-3x)$

$3=-2x$

$x=-\frac{3}{2}$

If we add first -3x on both sides

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

$5=-2x+2$

Now, we add -2 on both sides

$5+(-2)=-2x+2+(-2)$

$3=-2x$

$x=-\frac{3}{2}$

Answer does not effected if we add first -3x or -2.

Therefore,she can do either one first because zero pairs will be created to isolate the variable wither way.

Option c is true.

Answer 2

The answer is C, because when isolating the variable it is not important to start with a specific one, either way will give you the correct answer