Question

1.

Answer 1

1. Multiply the second line by 4: 4x+4y=16. They are the same line so there are infinitely many solutions.

2. Substitute for y.
x+(2x+10)=-2
3x+10=-2
3x=-12
x=-4

Plug x in
-4+y=-2
y=2

Final answer: (-4,2)

3. The answer is the first one because the solution is always where two lines intersect. The crossing of the x axis, y axis, and origin are irrelevant.

4. 2x+4=3x+1. This is because both equations define the value of y and therefore must be equivalent.

5. Infinitely many solutions. If you multiply the second equation by -3, you can tell it's coinciding or the same line.

Answer 2

Answer:

no solution

Step-by-step explanation:What is the solution to the system of equations?

5x – 4y = 6

–5x + 4y = –10

(4, 4)

(–2, –5)

infinitely many solutions

no solution