Question

4x-5y=-7
y=5x

Answer 1

$$
4x-5y=-7\\
y=5x\\
\text{Substitute y:}\\
4x-5(5x)=-7\\
\text{Solve for x}\\
4x-25x=-7\\
x(4-25)=-7\\
x=\cfrac{-7}{4-25}\\
$$
That's it!

Any questions?

Answer 2

well my answer choices are:
a: 1 and 2/3,1/3
b: 1/3,1 and 2/3
c: -1/3, -1 and 2/3
d: -1 and 2/3, -1/3

Answer 3

First you plug in y=5x into the y in the 1st equation.
4x-5(5x)=-7
then distribute the -5
4x-25x=-7
then you combine like terms
-21x=-7
then divide by -21
x=-7/21
simplify
so x=1/3

Answer 4

i think its b? correct

Answer 5

1/3 , 1 and 2/3 ??

Answer 6

What is
$$
x=\cfrac{-7}{4-25}=\cfrac{1}{3}
$$
Then plug this into
$$
y=5x\\
$$
To get
$$
=5\times\cfrac{1}{3}=\cfrac{5}{3}
$$

Answer 7

For y, what's another way to say
$$
\cfrac{5}{3}
$$
?

If you divide 5 by 3, you get 1 with a remainder of 2. So
$$
\cfrac{5}{3}=\\
\text{1 and }\cfrac{2}{3}
$$

Answer 8

So now you have \(x=\cfrac{1}{3}\) and \(y=\) 1 and \(\cfrac{2}{3}\)

Answer 9

Soo yes B is your answer.