Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. what is the value when 2 is substituted for x into both expressions?

Keywords:

Equation, simplified, variable, compare

For this case, we have an equation of the form, where . The equation was simplified and we want to find the value ofwhen the variable and compare the result of both equations. So:

(1)

We apply distributive property to simplify, taking into account that:

(2)

If , we substitute in the original equation and in the simplified equation:

1)

2)

Thus, when is substituted in both expressions, the result is 6.

For and , substituting we have the result is 6.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.