Question

Solve the system.
2x + y = 3
-2y = 14 - 6x
Write each equation in slope-intercept form.
x +
y =
x +

Answer 1

Answer:

x = 2

y = -1

Step-by-step explanation:

2x + y = 3

-2y = 14 - 6x

6x - 2y = 14

2x + y = 3 | ×3 |

6x - 2y = 14 | ×1 |

6x + 3y = 9

6x - 2y = 14

__________--

5y = -5

y = -5/5

y = -1

2x + y = 3

2x + (-1) = 3

2x = 3 + 1

2x = 4

x = 4/2

x = 2

Answer 2

Answer: y=-2x+3

y=3x+-7

How do the slopes and y–intercepts of the two equations compare? The slopes and the y-intercepts are different.

They system represents lines that

Intersect at one point

Exactly one solution

Step-by-step explanation: Just did it :p