Question

Carlos solved the system of equations below. What mistake did he make in his work? (5 points)

Answer 1

Multiplying -2 with the terms inside the bracket $x − 2(5 − 2x) = 10$ Carlos did a mistake. He found -2(5) = +10, but actually multiplying -2(5) we get -10

Step-by-step explanation:

We need to find the mistake in Carlos work.

The given system of equations is:

$2x + y = 5\\x-2y = 10$

He found value of y from eq(1) and put in eq(2)

$2x + y = 5\,\,\,eq(1)\\x-2y = 10\,\,\,eq(2)$

$y = 5 -2x\\x -2(5-2x) = 10$

Now multiplying -2 with the terms inside the bracket $x − 2(5 − 2x) = 10$ Carlos did a mistake. He found -2(5) = +10, but actually multiplying -2(5) we get -10 i.e

$x + 10 + 4x = 10\,\,\,(wrong)\\Correct\,\,answer\,\,would\,\,be:\\x-10+4x=10\\5x=20\\x=20/5\\x=4$

So, value of x =4

Putting value of x in eq(1)

$2x+y=5\\2(4)+y=5\\8+y=5\\y=5-8\\y=-3$

So, after correcting the mistake, the value of x=4 and y = -3

Keywords: Solving system of equations

Learn more about Solving system of equations at:

• brainly.com/question/9045597
• brainly.com/question/13168205
• brainly.com/question/2115716

#learnwithBrainly