y=3x+17

-2x-7y=4

and your question is?

what does X equal and what does Y equal?

To solve the system of equations, put the value of y from the first equation (3x+17) into the second equation for y. Then solve the second equation for x. Once that is known,put it back into the first equation to solve for y.

To solve this system of equations, we can use the method of substitution. The goal is to find the values of x and y that satisfy both equations.

Let's begin by rearranging the first equation, y = 3x + 17, to express x in terms of y:

3x = y - 17

Dividing both sides by 3:

x = (y - 17) / 3

Now, we can substitute this expression for x into the second equation, -2x - 7y = 4:

-2((y - 17) / 3) - 7y = 4

Simplifying the equation:

-2(y - 17)/3 - 7y = 4
(-2y + 34)/3 - 7y = 4

To solve this equation, we need to get rid of the fraction. Multiply all terms in the equation by 3 to eliminate the denominator:

-2y + 34 - 21y = 12

Combining like terms:

-23y + 34 = 12

Next, isolate the variable term -23y by moving 34 to the other side:

-23y = 12 - 34
-23y = -22

Divide by -23 to solve for y:

y = -22 / -23
y = 22/23

Now that we have the value of y, we can substitute it back into the first equation to find the value of x:

x = (22/23 - 17) / 3
x = (22/23 - 391/23) / 3
x = (-369/23) / 3
x = -123/23

Therefore, the solution to the system of equations is x = -123/23 and y = 22/23.