What is the solution to x+y=17 and 4x+6y=78

x = 12 and y = 5

Step-by-step explanation:

Given that x + y = 17, you can solve for one of the variables currently. If you solve for the variable y, you get the equation y = 17 - x.

Substitute this value of y into the second equation, causing all values to now be the same variable instead of varying ones. This gives you the new equation 4x + 6 (17 - x) = 78.

Distribute the 6 inside the parenthesis, getting 102 and - 6x, then combine like terms by doing 4x - 6x, giving you - 2x.

Your current equation should now be - 2x + 102 = 78

Subtract 102 from both sides, giving you - 2x = - 24

Divide by 2 on both sides, giving you positive 12 = x as both negatives cancel out.

Now, take the x value and substitute it back into the first equation we used. Instead of x + y = 17, it should be 12 + y = 17

Subtract 12 on both sides, and you get y = 5.