For the following system, if you isolated x in the first equation to use the substitution method, what expression would you substitute into the second equation? −x + 2y = −6 3x + y = 8

Step-by-step explanation:

So we have the system:

If we isolate the x-variable in the first equation:

Subtract 2y from both sides:

Divide both sides by -1:

Therefore, we would substitute the above into the second equation:

The answer is 2y+6

Further notes:

To solve for the system, distribute:

Simplify:

Subtract:

Divide:

Now, substitute this value back into the isolated equation:

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.