x + y = 2, x= 4y + 5, Answer as fraction in lowest terms.?

Question

This is what I did so far - Please help
4y+5+y=2
5y+5=2
5y= -3
y = -3/5

4(-3/5) + 5 + (-3/5) = 2
-12/5 + 5 + (-3/5) = 2
-15/5 + 5 = 2
-3 + 5 = 2
Why don't I have fractions for the answer?

Answer 1

Okay, given that y = -3/5:

x + y = 2
x + (-3/5) = 2
x = (3/5) + 2
x = (3/5) + (10/5)
x = 13/5

The second equation you have written is actually true, but it doesn't solve for x. What your second equation did was merely prove that x + y = 2.

Answer 2

First tutor the above equation in terms of y by using manpulating the equation. a million) bypass each and each and each and all of the words that don't incorporate y to the dazzling hand part (RHS). do this by using subtracting those words from the two components of the equation. you're in a position to try this because of the fact of certainty if 2 themes are equivalent, and you subtract an same ingredient from the two a type of themes, the outcomes are however equivalent. an same applies to any arithmetic operation. then you definately get: 3y = 5 - 4x2 - 8x 2) Divide the two components by using 3 and rearrange the RHS words so as of powers of x: y = -4/3 x2 -8/3 x + 5/3 3) i'm uncertain what the question is as to recommendations. you probably did no longer say on your question. one ingredient you're in a position to do is plot the function by using substituting various values for x and recording the corresponding values for y. yet yet another which could be finished is to discover the roots of the equation, that are the values of x such that y = 0. For a quadratic equation there must be 0, a million, or 2 genuine roots. There are continuously 2 complicated roots even however the two could be equivalent. You do this employing the quadratic formulation for 0 = a x2 + bx + c: x = (-b +/- sqrt(b2 - 4ac) ) / 2a

Answer 3

x + y = 2
x = 2 - y

x = 4y + 5

Find y:
2 - y = 4y + 5
5y = 2 - 5
5y = - 3
y = - 3/5

x = 2 - (- 3/5)
x = 2 3/5

Answer: x = 2 3/5, y = - 3/5

Proof 1:
2 3/5 - 3/5 = 2

Proof 2:
2 3/5 = 4(- 3/5) + 5
2 3/5 = - 12/5 + 25/5
2 3/5 = 13/5
2 3/5 = 2 3/5

Answer 4

when you find x, use the other equation.. x = 4(-3/5)+5

Answer 5

x+y=2
x+(-3/5)=2
x=(3/5)+2
x=(3/5)+(10/5)
x=13/5

The second part that you did doesn't help you find x.

Answer 6

or if ur sure its right then 2/1