Identify the solution to the system of linear equations below.

Question

y = −x + 3


y = 12x

Responses

(2, 1)
(2, 1)

(4, 0)
(4, 0)

(2, 5)
(2, 5)

(0, 3

Answer 1

To find the solution to the system of equations given:

1. $y=-x+3$
2. $y=12x$

We can set the two equations equal to each other since they both equal $y$:

$$-x+3=12x$$

Now, let's solve for $x$:

1. Add $x$ to both sides: $$3=13x$$

2. Divide both sides by 13: $$x=\frac{3}{13}$$

Next, we can substitute $x$ back into either equation to find $y$. We'll use the second equation:

$$y=12\left(\frac{3}{13}\right)=\frac{36}{13}$$

So the solution to the system of equations is:

$$(\frac{3}{13},\frac{36}{13})$$

This does not match any of the provided response options, which may indicate that the options likely contain errors or are incomplete. Please check the given options again or provide more context for further clarification.