What is the solution to this system of equations

Question

y=20+5x
y=30+3x

Answer 1

To solve this system of equations, we can set the equations equal to each other:

20 + 5x = 30 + 3x

Next, we can solve for x by subtracting 3x from both sides:

20 + 2x = 30

Then, subtract 20 from both sides:

2x = 10

Divide both sides by 2:

x = 5

Now that we have solved for x, we can substitute this value back into one of the original equations to find y. Let's use the second equation:

y = 30 + 3(5)
y = 30 + 15
y = 45

Therefore, the solution to this system of equations is x = 5 and y = 45.