# What is the solution of the system of equations?y = 2x - 35x + y = 11A (2, 1)B (1, 2)C (3, -4)D (1, -1)

What is the solution of the system of equations?
$$y = 2x - 3$$
$$5x + y = 11$$
$$A (2, 1)$$
$$B (1, 2)$$
$$C (3, -4)$$
$$D (1, -1)$$

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Isma Jimenez

Let:
$$y=2x−3$$ (1)
$$5x+y=11$$ (2)
Solve by substitution. Substitute (1) to (2) and solve for x:
$$5x+(2x−3)=11$$
$$7x−3=11$$
$$7x=14$$
$$x=2$$

Solve for yy using (1):
$$y=2(2)−3$$
$$y=1$$
So, the solution of the system is:
$$(2,1)$$
which is choice A.

content_user