Question

solve using the substitution method
2x+5y=14
-5x+y=19

Answer 1

You posted this before. I answered it there.
Do you have any questions as to how I did it?

Answer 2

I didn't understand at all and I should have 2 numbers for ans that look like this. ( x,y) but with numbers obviously

Answer 3

I came up with solutions:
x=-3 and
y=4
You can write them (-3,4)

Answer 4

Thank you.

Answer 5

Step 1: Pick one equation out of the two and solve for one of the variables
I picked the second equation and I picked the letter y
the second equation -5x+y=19
Moving the x to the other side of the equal sign, you get:
y=19+5x
Now you know what y is, but that's not quite a solution yet.
So now this value of y can be substituted in the other equation
Since this value came from the second equation, we take the first equation:
2x+5y=14
Only instead of the letter y, we will use the equation we got in step 1 (y=19+5x)
So we can rewrite equation 1 with the new value of y
2x+5(19+5x)=14
We multiply out the 5*(19+5x)
2x+95+25x=14
We collect the x and move the 95 to the other side
27x=-81 Now just divide both sides by 27
x=-3
You have one of the solutions!!
Now just substitute the value of x in either equation: (Here I'll pick the first one)
2x+5y=14
2(-3)+5y=14
-6+5y=14 MOving the 6 to the other side:
5y=14+6 or 5y=20
And finally dividing by 5 on both sides
y=4
Now you have both solutions
x=-3 and y=4 or (-3,4)
Good luck.