Question

PLEASE HELP ASAP PLEASEEEEEEE

Answer 1

Do you understand the process behind solving via substitution?

Answer 2

I need help with writing out the steps to solve it, can you help me please?

Answer 3

Can you explain the steps and help me please?

Answer 4

@kmeis002

Answer 5

In general, to solve by substitution you must isolate a variable (x or y) using 1 equation and then substitute that into the second. This will produce an equation of a single variable which can be solved. So if we solve for y in equation 1 we get
\[ y = \frac{-4.5}{2} x + \frac{12.5}{2} \to y= -2.25x + 6.25 \]
Now we can take that and substitute into equation 2 to obtain:
\[3.25x - (-2.25x + 6.25) =- 0.75 \]

Now you can solve for x and therefore solve for y after that

Answer 6

X would equal 1 and Y would equal 4.

Answer 7

@kmeis002 Can you help me solve?

Answer 8

You solved it perfectly!

Answer 9

I'm just confused as to how I am supposed to write it down.

Answer 10

To be more specific, you found that \(x = 1, y = 4\). This is a coordinate pair \((1, 4)\). This point corresponds to the intersection of lines. The two lines we are talking about are the two linear equations in our system. So the solution is simply \((1,4)\).

Answer 11

Ohh okay, thank you(:

Answer 12

One more question, can you write it out how to solve the equation? I just wanna make sure I did it right aha.

Answer 13

There are multiple methods, but using substitution:
1) Solve for either x or y in one of the equations
2) Substitute x or y (depending on your choice in 1) into the other equation
3) Solve for the single variable (the opposite of what you choose in 1).
4) Using your value from step 3, choose either equation to solve for the other unknown.

You will be left with a single point(x,y) once solved. Some systems have no solution (parallel lines never intersect).

Answer 14

How would I write it out as to how I solved the answer though