Which ordered pair (a, b) is a solution to the given system of linear equations?

3a+b=10
-4a-2b=2

(1, 7)
(3, 1)
(11, –23)
(23, –11)

Option C

Step-by-step explanation:

Given is a systems of equations in two variables a and b.

3a+b=10

-4a-2b=2

Let us solve this and find solution.

We can do this by elimination method

I equation x 2 gives    

Add these two equations to get

2a = 22

Divide by 2

We get a=11

Substitute in I equation

3(11)+B=10

b =10-33 =-23

Hence solution set is

(11,-23)

Option C is the right anser.

step-by-step explanation:

jjj

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.