Question

Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?

Answer 1

Answer:

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Answer 2

Answer:

x= 2 and y= -3

Step-by-step explanation:

Solve 3x-y=9 for y

subtract 3x from both sides to get -y=9-3x

then divide by -1 from both sides to get y= -9 + 3x or y=3x - 9

Next substitute 3x - 9 for y in 4x + y =5, like this:

4x + 3x - 9 = 5

7x - 9 = 5

add 9 to both sides to get

7x = 14

divide both sides by 7 to get

x=2

Next substitute 2 for x in y= 3x - 9

y = 3(2)-9

y = -3