What is the solution to the system of equations graphed below?
y=-4x+ 33
y=5/3x-1

Step-by-step explanation:

The system we have:

we can solve the system by eliminating one of the variables, I will eliminate the 'y' variable by substracting the equations:

we have which is zero, so now we have an equation that only depends on 'x'.

so now solving the resulting equation for 'x'

we have the value for x. Now we substitute this in the first of the original equations of the system to find the value of y:

thus, the solution of the system is:

x = 6, y = 9 is the solution to the given system of equations.

Step-by-step explanation:

Here, the system of the equations is:

Now, substitute the value of y in the second equation, we get

⇒

or, [tex]\frac{5x + 12x}{3}  = 34[/tex}

or, 17x = 3 x 34 = 102

So, x = 102 / 17 = 6

⇒x = 6  :  putting this in (1),

y = -4x + 33 = - 24 + 33 = 9

Hence, x = 6, y = 9 is the solution to the given system of equations.