To solve this system of equations, we can use the method of substitution. Let's solve the second equation for y: y = 3 - x Now substitute this value of y into the first equation: x^2 + x(3 - x) + (3 - x)^2 = 7 Simplifying: x^2 + 3x - x^2 + 9 - 6x + x^2 = 7 Combining like terms: 3x - 6x + 9 = 7 Simplifying further: -3x + 9 = 7 Subtracting 9 from both sides: -3x = -2 Dividing by -3: x = 2/3 Now substitute this value of x back into the second equation: y + 2/3 = 3 Subtracting 2/3 from both sides: y = 3 - 2/3 Simplifying: y = 7/3 So the solution to the system of equations is x = 2/3 and y = 7/3.