Solve the system of equations by the substitution method.?

Question

{y=2x+2
{y=5x+8
what is the solution?

Answer 1

sorry i hav no idea lol

Answer 2

Solve for x?

Since y = 2x + 2, and y = 5x + 8,
2x + 2 = 5x + 8.
Therefore, subtract 2 from both sides of the equation:
2x = 5x + 6
Subtract 2x from both sides:
0 = 3x + 6
Therefore, 3x = -6; therefore, x = -6/3 = -2

Answer 3

y = 2x + 2
y = 5x +8

substitute the value of y from the first equation into the second equation:

2x+2 = 5x +8
-6 = 3x
x = -2

now substitute the value of x into the first equation:

y = 2(-2) +2 = -2

the answer is x= -2 and y = -2

Answer 4

Substituting the y variable from the first equation into the second equation, I get:
2x+2=5x+8
3x=-6 or x =-2
Substituting x=-2 into the first equation, I get:
y=2(-2) +2 = -2

Answer: One solution (x,y) = (-2, -2)

Answer 5

using the first equation, you know that:

y = 2x + 2, or
x = (y - 2) / 2

now using the new equation we have, substitute the value of x in the second equation to solve for y:

y = 5x + 8
y = 5 [(y - 2) / 2] + 8
y = [(5y - 10) / 2] + 8
2y = 5y - 10 + 16
-3y = 6
y = -2

now that you know the value of y, you can use one of the original equations to solve for x:

y = 2x + 2
-2 = 2x +2
2x = -4
x = -2

Answer 6

the two equations are equal because they're both equal to "y"
so:
2x+2 = 5x+8
2=3x+8
-6=3x
-2=x

-2 is your solution

hope this helped :)

Answer 7

let's first number these equations: let, y-2x=2 be eqn no 1 and
let, y-5x=8 be eqn no. 2
Now if you subtract eqn 2 from eqn 1, you get 3x= -6... hence it can be easily arrived that x= -2
if you substitute this in eqn 1, you get y-{2(-2)}=2. or, y-{-4}=2
....or, y+4=2.... or y= -2.
hence your values are: x= -2, and y= -2..... cheers!!