How many solutions does the system of equations have 3x = -12y + 15 and x + 4y = 5

how many solutions does the system of equations have y = 6x + 2 and 3y - 18x = 12

how many solutions does the system of equations havex - 4y = 12 and 5x - 20y = 60

how many solutions does the system of equations have y - 6x = -3 and 4y - 24x = - 16

Part 1) Infinite solutions

Part 2) No solutions

Part 3) Infinite solutions

Part 4) No solutions

Step-by-step explanation:

Part 1) we have

Group the variables

-------> equation A

-------> equation B

Multiply by equation B

------>

The equation A and the equation B are the same equation, is the same line

therefore

The system has infinite solutions

Part 2) we have

-------> equation A

Isolate the variable y

 ------> Divide by both sides

-------> equation B

we know that

If two lines has the same slope , then they are parallel lines

In this problem the line of the equation A and the line of the equation B has the same slope

therefore

Line A and Line B are parallel lines

The system has no solution

Part 3) we have

-------> equation A

-------> equation B

Multiply by equation A

------->  

The equation A and the equation B are the same equation, is the same line

therefore

The system has infinite solutions

Part 4) we have

Isolate the variable y

-------> equation A

Isolate the variable y

------> Divide by both sides

-------> equation B

we know that

If two lines has the same slope , then they are parallel lines

In this problem the line of the equation A and the line of the equation B has the same slope

therefore

Line A and Line B are parallel lines

The system has no solution

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13