Find the solution for this system of equations: 7x-3y=63 and y=x-1

Answer 1

7x-3y=63 and y=x-1

As previously explained, use y = x - 1 to substitute into 7x - 3y = 63

Solve.

Answer 2

In order to find the solution for the system of equations:

(1^st equation) 7x - 3y = 63

(2^nd equation) y = x - 1

We can use the substitution method which allows us to plug in one of the equations into the other one to solve for a variable. In this case, the second equation is solved for y since y is by itself on one side. Since y is equal to x - 1, we can use that to plug it into our first equation for y:

7x - 3(x - 1) = 63 y is replaced with x - 1 from the second equation and now we simplify

7x - 3x + 3 = 63

4x + 3 = 63

4x = 60

x = 15

Now, we can use the x value to find the y by plugging in x into one of the equations. Lets plug that into our second equation since it is much easier to solve that one:

y = 15 - 1

y = 14

So, our final solution is x = 15 and y = 14. We can also write this as a coordinate (15, 14).