Question

How many solutions exist for the system below? In two or more complete sentences, give the solution and explain how you solved the system. y=-2x + 3 y = -2×3x​

Answer 1

See below

Explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)