Question

How many solutions does the system of equations below have? y = 3x − 1 y = 1 /8 x + 8/ 3

Answer 1

Explanation:

Step 1: Set the two equations equal to each other:

3x - 1 = 1/8x + 8/3

Step 2: Simplify the equation:

24x - 8 = 8x + 24

Step 3: Subtract 8x from both sides:

16x - 8 = 24

Step 4: Add 8 to both sides:

16x = 32

Step 5: Divide both sides by 16:

x = 2

Step 6: Substitute x = 2 into either of the original equations to find y:

y = 3(2) - 1

y = 5

Therefore the solution to the system of equations is (2,5).