{6x−y=21

8x+2y=58

To solve this system of equations, we can use the substitution method.

From the first equation, we can solve for y:

6x - y = 21

y = 6x - 21

Now we can substitute this expression for y into the second equation:

8x + 2(6x - 21) = 58

Simplifying:

8x + 12x - 42 = 58

20x = 100

x = 5

Now we can substitute this value for x into either equation to solve for y. Let's use the first equation:

6(5) - y = 21

30 - y = 21

y = 9

Therefore, the solution to the system of equations is x = 5 and y = 9.