Hello there. To solve this system of equations, we'll use the method of substitution.
Take the first equation, in which y = 2/3x + 5 and plug in this value of y in the second equation:
7x - 3(2/3x + 5) =15
Apply the FOIL
7x - 2x - 15 = 15
Sum 15 on both sides of the equation and add the values
5x = 30
Divide both sides of the equation by a factor of 5
x = 6
Now, plug in this value on the first equation:
y = 2/3 * 6 + 5
Multiply and add the values
y = 4 + 5 = 9
The solution to this system of equations is the pair (6, 9)
