Solve the system of equations graphed on the coordinate axes below. y=-2x y=(1)/(3)x+7 Answer Solution: square

To solve the system of equations given by: We need to find the point where the two lines intersect. This is done by setting the two equations equal to each other since they both equal y at the point of intersection.Step 1: Set the two equations equal to each other. Step 2: Solve for x.To do this, we'll move all terms involving x to one side of the equation and constants to the other side. To combine the x terms, we need a common denominator. The common denominator for 2 and 3 is 6, so we multiply the terms to get: Combine the x terms: Now, divide both sides by -7/3 to solve for x: Step 3: Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. We'll use the first equation for simplicity: Substitute x = -3 into the equation: Step 4: Write down the solution as an ordered pair (x, y).The solution to the system of equations is the point where the two lines intersect, which is: Answer:The solution to the system of equations is (-3, 6).