what is the solution to the following system of equations?

Question

y = 5x + 7
3y - 15x = 18

Answer 1

To find the solution to the system of equations, we can use substitution or elimination method.

Substitution Method:
Step 1: Solve the first equation for y:
y = 5x + 7

Step 2: Substitute the expression for y in the second equation:
3(5x + 7) - 15x = 18

Step 3: Simplify the equation:
15x + 21 - 15x = 18
21 = 18

This is not a true statement, and therefore, there is no solution to the system of equations. The system of equations is inconsistent.

Graphically, the two equations represent two parallel lines, which means they do not intersect and have no common solution.