Solve the system of equations. How many solutions does the system have. 15j + 12k = 18

5j + 4K = 6

j=-4/5k+6/5 k=-5/4j+3/2

Step-by-step explanation:

Let's solve for j.

15j+12k=18

Step 1: Add -12k to both sides.

15j+12k+−12k=18+−12k

15j=−12k+18

Step 2: Divide both sides by 15.

15j

15

=

−12k+18

15

j=

−4

5

k+

6

5

Let's solve for k.

15j+12k=18

Step 1: Add -15j to both sides.

15j+12k+−15j=18+−15j

12k=−15j+18

Step 2: Divide both sides by 12.

12k

12

=

−15j+18

12

k=

−5

4

j+

3

2

k=

−5

4

j+

3

2

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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

step-by-step explanation: