Question

Find four solutions for each equation. Write the solutions as ordered pair. y=x-5 and y=-3x+1

Answer 1

Answer:

Your solution is (3/2, -7/2)

Step-by-step 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!