Question

X+y=8 and x-y=2 solve the simultabeous equation

Answer 1

To solve the simultaneous equations x+y=8 and x-y=2, use the method of substitution to find the values of x and y. The solution is x = 5, y = 3.

Step-by-step explanation:

To solve the simultaneous equations x+y=8 and x-y=2, we can use the method of substitution.

1. Rewrite one of the equations to solve for one variable in terms of the other. For example, x = y+2.
2. Substitute the expression from step 1 into the other equation. In this case, substitute y+2 for x in the equation x+y=8.
3. Solve the resulting equation for the variable. In this case, solve for y.
4. Plug the value of y obtained from step 3 back into one of the original equations to solve for x.
5. The solution to the simultaneous equations x+y=8 and x-y=2 is x = 5, y = 3.