Solve the system of equations without graphing. Explain or show your reasoning. {2y=x−4
{4x+3y=5

(2, -1)

Step-by-step explanation:

We can subtract x from both sides from the first equation, then multiply the first equation by 4, so it's easier to solve later:

-4x+8y = -16

4x+3y = 5

Then, we can add the 2 equations, so the x cancels out:

11y = -11

y=-1

Now, we can plug y as -1 to any of the equations above:

4x+3*(-1)=5

4x=8

x=2

Therefore, the solution to these 2 equations are (2, -1)

Slope and a point that is not an intercept

Step-by-step explanation: