Question

What is the answer
y=2x+3
y=3x+5

Answer 1

`y=2x+3\\ y=3x+5\\\\ 2x+3=3x+5\\ 2x-3x=5-3\\ -x=2\\ x=-2\\\\ y=2\cdot(-2)+3\\ y=-4+3\\ y=-1`

Answer 2

We can use substitution.

We can substitute 2x + 3 for 'y' in the 2nd equation.

y = 3x + 5

2x + 3 = 3x + 5

Subtract 3 to both sides:

2x = 3x + 2

Subtract 3x to both sides:

-x = 2

Multiply -1 to both sides:

x = -2

Now we can plug this into any of the two equations to get our y-value:

y = 2x + 3

y = 2(-2) + 3

y = -4 + 3

y = -1

So our solution is (-2, -1)