The graph represents this system of equations. what is the solution to the system of equations? a(–2, 4) b( 3, 4) c (4, –2) d(4, 3)

Okay. All we have to do is look at this graph and see what points out of those answer choices show up. (-2, 4) is on the line (actually where the line intersects) but what about the others? (4, -2) and (4, 3) are not connected with any of the lines, so C and D are eliminated. (3, 4) is on the line, but that's not where both lines intersect. Intersecting lines at a point shows that the point is the solution, in this case (-2, 4) is the solution to this system of equation. The answer is A: (-2, 4).

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.