everytime I try to ask for hwlp my teacher goes and helps other st8dents when I am tryin to ask him for help on a problem.
How do I solve the system of equation?
x+y=1
2x-y=5
x+y=1
2x-y=5
In this case add the two equations together
x+y+2x-y=1+5
and you see that the y-y=0 so the y terms disappear
x+2x=1+5
add the like terms together
3x=6
so x=2
x+y=1
2x-y=5
x = 1 - y
Substitute 1 - y for x in the second equation and solve for y. Put that value in the first equation to find x. Check by putting both values into the second equation.
I hope this helps. Thanks for asking.
To solve the system of equations x+y=1 and 2x-y=5, we can use the method of substitution or the method of elimination. I will explain how to solve it using the method of substitution.
1. Start by solving one equation for one variable in terms of the other variable. Let's solve the first equation for x:
x = 1 - y
2. Substitute the expression for x in terms of y into the second equation.
2(1 - y) - y = 5
3. Simplify and solve for y.
2 - 2y - y = 5
-3y = 3
y = -1
4. Substitute the value of y back into one of the original equations and solve for x.
x + (-1) = 1
x - 1 = 1
x = 2
So the solution to the system of equations is x = 2 and y = -1.
Make sure to double-check your solution by substituting the values of x and y back into both equations to see if they satisfy the equations.