Question

I need to do this today! Systems of Equations help please!

Answer 1

An equation is shown below.

7x + y = 5

Part A: Explain how you will show all of the solutions that satisfy this equation.

Part B: Determine three different solutions for this equation.

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.

Answer 2

The important thing about solving systems of equations is that you need an equation for each unknown you have. So, if you have 2 unknowns, you need 2 equations and so on.

Answer 3

Ok

Answer 4

So for 7x + y =5, we need one more equation to solve it. So, part A and part B can't be answered. I don't know what they mean in Part B to "determine three different solutions". If we could solve the equation, it would simply be x= and y= . Where do those other solutions come from?
Part C does have an answer though.

Answer 5

But how do I do A and B?

Answer 6

Couldn't you use what I already wrote as answers to Part A and B?

Answer 7

7(2) + -9 = 5
7(1) + -2 = 5
7(3) + -16 = 5

Answer 8

You replace x and put a number for y that would add up to x to = 5.

Answer 9

Are those the 3 equations?

Answer 10

@Baseballa101 Nope - They are for parts A and B :)

Answer 11

Ohhhhhhhh ok and wolf explained C but how do I do that?

Answer 12

Okay I can do part C
You get the equation 7x + y = 5 and multiply it by any number to get a new equation
so 7x + y = 5 multiplied by 2 equals
14x + 2y = 10
This makes the 2 equations inconsistent (unsolvable).

Answer 13

^

Answer 14

But why would you keep the x and y

Answer 15

Another way is to have 2 equations that equal different numbers
7x + y = 5
7x + y = 11

Answer 16

y = 7x - 5 <---- Would work as well.

Answer 17

Ok thanks guys!!!

Answer 18

No problem!

Answer 19

u r welcome