What is the solution to the system of equations y = 5x + 3 and y = 1?

To find the solution to the system of equations, we need to set the two equations equal to each other since they both represent the value of y.

We start with the equations:

• y = 5x + 3
• y = 1

By setting them equal to each other, we get:

5x + 3 = 1

Now, we will solve for x:

1. Subtract 3 from both sides:
2. 5x = 1 – 3
3. 5x = -2
4. Next, divide both sides by 5:
5. x = -2/5

Now that we have the value of x, we can substitute it back into either of the original equations to find y. We’ll use the second equation:

y = 1

This gives us a constant value of y, which means no matter what x is, y will always equal 1 in this particular equation.

Thus, the solution to the system of equations is:

(-2/5, 1)

This point represents the intersection of the two lines on a graph, confirming that the equations have one point in common.