Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
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.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
