2x+y=4
-x+y=1
are we solving???
if so, then just subtract them
4x = 3
x = 1
sub into the second
-1 + y = 1
y = 2
bring x to the other side in -x + y=1 so that you will get the equation y=x + 1 plug x +1 in for y in the first equation and solve for x and then plug that answer into either equation for x to solve for y
To find the solution to the system of equations given, you can use a method called substitution. Here's how:
First, let's solve one of the equations for one variable in terms of the other.
From the second equation, we can isolate y by adding x to both sides:
-y = 1 + x
Next, let's substitute this expression for y into the first equation:
2x + (1 + x) = 4
Now, simplify the equation:
2x + 1 + x = 4
Combine like terms:
3x + 1 = 4
To isolate x, subtract 1 from both sides:
3x = 4 - 1
3x = 3
Finally, divide both sides by 3 to solve for x:
x = 3/3
x = 1
Now that you have the value of x, substitute it back into either of the original equations to find the value of y. Let's use the second equation:
-x + y = 1
Substituting x = 1:
-1 + y = 1
To isolate y, add 1 to both sides:
y = 1 + 1
y = 2
So, the solution to the system of equations is x = 1 and y = 2.