what coordinate point is the solution to the system?
{3x+2y=8
{x-y=1
(2,1)
please don't think i just made that up, it's correct. you have to use substitution, when you do solve for x and y, you get: x= y+1 and y=x-1, plug in y for 3x+2y=8 and you get: y=1, then plug in "1" everywhere there is a y and you get: x=2.
To find the coordinate point that is the solution to the system of equations, you can use the method of substitution. Here's a step-by-step explanation:
1. Given the system of equations:
Equation 1: 3x + 2y = 8
Equation 2: x - y = 1
2. Solve Equation 2 for x in terms of y:
x = y + 1
3. Substitute the expression for x (from Step 2) into Equation 1:
3(y + 1) + 2y = 8
4. Simplify and solve for y:
3y + 3 + 2y = 8
5y + 3 = 8
5y = 5
y = 1
5. Substitute the value of y (found in Step 4) into the expression for x (from Step 2):
x = 1 + 1
x = 2
6. Therefore, the coordinate point (x, y) that is the solution to the system of equations is (2, 1).
It looks like you correctly solved the system of equations using substitution to obtain the solution (2, 1). Well done!