y-2x=-5
3y-x=5
y = -5 + 2x
3y-x = 5
so 3*(-5 + 2x) - x = 5
-15 + 6x - x = 5
-15 + 5x = 5
x = 20/5
x = 4
y = -5 + 2 *4
y = 3
To solve the given system of equations, you can use the method of substitution.
Step 1: Solve one of the equations for one variable in terms of the other variable. In this case, let's solve the first equation for y:
y - 2x = -5
y = -5 + 2x
Step 2: Substitute the expression for y in the second equation:
3y - x = 5
3(-5 + 2x) - x = 5
Step 3: Simplify and solve for x:
-15 + 6x - x = 5
-15 + 5x = 5
5x = 20
x = 20/5
x = 4
Step 4: Substitute the value of x back into one of the original equations to find y:
y = -5 + 2x
y = -5 + 2(4)
y = -5 + 8
y = 3
So the solution to the system of equations is x = 4 and y = 3.