Answer:
x = -9, y = 5
Step-by-step explanation:
Since we need to solve this system of linear equations by substitution, let's transform the second equation into the form, x = ay + b. We start off with x - 3y = -24, subtract 3y from both sides, and we get x = 3y - 24. Then, substitute the expression 3y - 24 for y in 2x + 9y = 27.
2(3y - 24) + 9y = 27 Substitute 3y - 24 for x.
6y - 48 + 9y = 27 Distribute 2.
15y = 75 Add & subtract to combine the like terms.
y = 5 Divide by 15.
Now that we have the value of y, we can find x by substituting 5 for y in any of the equations. Let's use 2x + 9y = 27 for example.
2x + 9(5) = 27 Substitute 5 for y.
2x + 45 = 27 Multiply.
2x = -18 Subtract.
x = -9 Divide by 2.
