Question

1) y=-x+7

Answer 1

Answer:

1) y = 5, x = 2

2) y = 5, x = 8

3) y = -2, x= -2

Step-by-step explanation:

1)

Use elimination to solve this problem. In this case, one can just add up the two equations, simplify, use inverse operations, and then substitute back in to find the answer.

y = -x + 7

y = x + 3

_______

2y = 10

/2     /2

y = 5, x = 2

2)

Use elimination, in this case, one will have to multiply the second equation by -2, then add, in order to eliminate one of the variables. Finally one will have to simplify, use inverse operations and then substitute back in to solve.

y = x - 3

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

y = x - 3

-2y = -x - 2

-y = -5

y = 5,   x = 8

3)

Use elimination, in this case, one will have to multiply the second equation by 2, then add, in order to eliminate a variable. Then one will have to simplify, use inverse operations and then substitute back in to solve.

y = 2x + 2

y = -x - 4     *(2)

y = 2x + 2

2y = -2x - 8

3y = -6

/3      /3

y = -2, x = -2