Hat is the value of x in the equation 7x + 2y = 48 , when y = 3?

x = 6

Step-by-step explanation:

When y = 3, we can use this value to substitute into the equation for 'y' in order to solve for 'x':

7x + 2(3) = 48  or 7x + 6 = 48

Subtract '6' from both sides: 7x + 6 - 6 = 48 - 6 or 7x = 42

Divide both sides by '7':  7x/7 = 42/7

Solve for 'x':  x = 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.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: