Answer:
Your solution is (3/2, -7/2)
Explanation:
y = x - 5
y = -3x + 1
First, see that these two equations equal y. This means you can set them equal to each other.
x - 5 = -3x + 1
Combine like terms.
[add 3x to both sides]
4x -5 = 1
[add 5 to both sides]
4x = 6
Isolate x further by dividing both sides by 4.
x = 6/4
Simplify the fraction.
x = 3/2
Now that we know x, plug its value (3/2) back into one of the original equations to find y.
y = (3/2) - 5
Simplify by subtracting.
[convert 5 to have a denominator of 2]
y = 3/2 - 10/2
y = -7/2
Your solution is (3/2, -7/2)
Check this by plugging these values into the equation you have not yet checked.
-7/2 = -3(3/2) + 1
Simplify.
[multiply]
-7/2 = -9/2 + 1
[convert 1 to have a denominator of 2]
-7/2 = -9/2 + 2/2
[add]
-7/2 = -7/2
This equation is true; therefore your solution is correct.
Hope this helps!