how do i solve y=2x-10
2y=x-8
an easy way is substitution.
You know that y=2x-10
so, put that into the other equation:
2(2x-10) = x-8
Now solve that for x, and figure y=2x-10.
To solve the system of equations y=2x-10 and 2y=x-8, we can use either the substitution method or the elimination method. Let's use the substitution method.
Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve the first equation, y=2x-10, for y:
y = 2x - 10
Step 2: Substitute the expression for the variable into the other equation.
Substitute y = 2x - 10 into the second equation, 2y = x - 8:
2(2x - 10) = x - 8
Step 3: Simplify and solve for x.
Expand the expression:
4x - 20 = x - 8
Combine like terms by subtracting x from both sides:
4x - x - 20 = -8
Simplify:
3x - 20 = -8
Add 20 to both sides:
3x = 12
Divide both sides by 3:
x = 4
Step 4: Substitute the value of x back into one of the original equations to find y.
Let's substitute x = 4 into the first equation, y = 2x - 10:
y = 2(4) - 10
y = 8 - 10
y = -2
So, the solution to the system of equations is x = 4 and y = -2.