How many solutions to y=2x-3 y=-x+3

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

+x. +x

3 = 3x-3

+3 +3

6 = 3x

÷3 ÷3

2 = x

x = 2

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: