Question

Match the ordered pair (x,y) that is a solution for the following:(1 point) . y = 2x + 1
y = x -4
y = -3x

Answer 1

The given equations are:
1) y = 2x + 1
2) y = x - 4
3) y = -3x

To find the matching ordered pairs (x, y) that satisfy all three equations, we can substitute the equations into each other.

Substituting equation 1 into equation 2:
2x + 1 = x - 4
2x - x = -4 - 1
x = -5

Substituting x = -5 into equation 1:
y = 2(-5) + 1
y = -10 + 1
y = -9

So, the ordered pair (x, y) that satisfies both equation 1 and 2 is (-5, -9).

Substituting equation 3 into equation 1:
-3x = 2x +1
-3x - 2x = 1
-5x = 1
x = -1/5

Substituting x = -1/5 into equation 3:
y = -3(-1/5)
y = 3/5

So, the ordered pair (x, y) that satisfies both equation 1 and 3 is (-1/5, 3/5).

In conclusion, the matching ordered pairs (x, y) that are solutions for all three equations are:
(-5, -9) and (-1/5, 3/5).