Question

Solve the system by substitution. please help this is due tomorrow

7. y = x - 4
y = 4x - 10

Answer 1

y=-2

x=2

Explanation:

If y=x-4, that means x is 4 larger than y.

y=4x-10

If y is 2 and x is 6 (2≠24-10) or (2≠14)

If y is 1 and x is 5 (1≠20-10) or (1≠10)

If y is 0 and x is 4 (0≠16-10) or (0≠6)

The pattern is that each time y and x goes 1 down, the difference between y and x goes down 3 each time. So if you keep on going down in the negatives,

If y is -2 and x is 2 (-2=8-10) or (-2=-2)

I would appreciate it if you pick this answer (It'll be my first one)

Answer 2

the solution is (2, -2)

Explanation:

We'll solve this system by substitution. Set y = x - 4 = to y = 4x - 10. The result, which no longer features y, is x - 4 = 4x - 10.

First, subtract x from both sides. We get -4 = 3x - 10, or 6 = 3x. Then x = 2.

Substituting 2 for x in y = x - 4, we get y = 2 - 4, or y = -2.

Then the solution is (2, -2).