y=-2x+2 6x+2y=3

Question

can you explain how you get this answer not just the answer

Answer 1

y = -2x + 2 --- (1)
6x + 2y = 3 --- (2)

Substituting (1) into (2), we will get:

6x + 2(-2x + 2) = 3
6x - 4x + 4 = 3
2x = 3 - 4
2x = -1
x = -1/2

Substituting x = -1/2 into (1), we will get:

y = -2(-1/2) + 2
y = 1 + 2
y = 3

Hence, x = -1/2 and y = 3.

Answer 2

1) y=-2x+2

2) 6x+2y=3

okay we have system of equations, that means 2 or more equations that need to be solved.  There are many ways to solve this. Since the first equation is y solved, I would use substtitution to solve.  put 1) into equation 2)

6x + 2(-2x + 2) = 3

6x - 4x + 4 = 3

2x + 4 = 3

2x = -1

x = -1/2

put the value into 1)

y = -2(-1/2) + 2

y = 1 + 2

y = 3

CHECK:

x = -1/2, y = 3

1) y=-2x+2 plug in: 3 = -2*-1/2 + 2

                                3 = 1 + 2 checks

2) 6x+2y=3

6*(-1/2) + 2(3)  = 3

-3 + 6 = 3 checks

the solution is x = -1/2 and y = 3

 

 

 

Answer 3

como puedo resolver esta ecuacion linea 2x+3y/5=6x-2y/3