what is the value of the cordinate of the solution to the system of equations x-2y=1 and x+4=7
I assume the second equation is x+4y=7
subtract the first equation from the second
6y=6
that gives you y. Put that y into either equation, solve for x.
To find the value of the coordinate of the solution to the system of equations, we need to solve the equations simultaneously.
Let's start by solving the first equation, x - 2y = 1. We can rewrite this equation as x = 2y + 1.
Now, substitute this expression for x into the second equation, x + 4 = 7:
(2y + 1) + 4 = 7
Simplifying, we get:
2y + 5 = 7
Next, subtract 5 from both sides of the equation:
2y = 7 - 5
2y = 2
Now, divide both sides of the equation by 2 to solve for y:
y = 2/2
y = 1
We have found the value of y, which is 1. To find the value of x, substitute this value of y back into the first equation:
x - 2(1) = 1
x - 2 = 1
Next, add 2 to both sides of the equation:
x = 1 + 2
x = 3
Therefore, the solution to the system of equations is x = 3 and y = 1.