Use substitution to solve the system of equations. y=5x+1𝑦=5𝑥+1 4x+y=10

Sure, here are the steps to solve the system of equations using substitution:

1. We have two equations: y = 5x + 1 and 4x + y = 10.

2. The first equation is already solved for y, so we can substitute (5x + 1) for y in the second equation. This gives us: 4x + (5x + 1) = 10.

3. Simplify the equation: 9x + 1 = 10.

4. Subtract 1 from both sides to isolate the variable on one side: 9x = 9.

5. Divide both sides by 9 to solve for x: x = 1.

6. Substitute x = 1 into the first equation to solve for y: y = 5(1) + 1 = 6.

So, the solution to the system of equations is x = 1 and y = 6.