Consider the following system of equations 2x+3y=45 x+y=10 what is the x value of the solution for this system

X + y = 10y = 10 - xso we sub in 10 - x for y in the other equation

2x + 3y = 45
2x + 3(10 - x) = 45
2x + 30 - 3x = 45
2x - 3x = 45 - 30
-x = 15
x = -15 <===

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.