Answer:
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.
