A student solved the following system of equations
incorrectly using these steps:
2x + 5y = 13
-x + 4y = 13
What error did the student make?
In line 2, the student forgot to multiply the
right side of the equation by 2.
In line 3, the student should have subtracted
the equations instead of adding them.
In line 3, the student added the two equations
incorrectly
In line 5. the student used an incorrect
equation when solving for x
1 2x + 5y = 13
2 + -2x + 8y = 13
3
13y = 26
4
y = 2
DONE
5
6
7
8
2x + 5(2) = 13
2x + 10 = 13
2x 3
X = 1.5
The solution to the system is (1.5.2).
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bamboola1 bamboola1 · Answer 1 · 2020-06-09T15:24:46+02:00

Answer:

if the solution to the system is 1.5 and 2

Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.

Step-by-step explanation:

if y = 2

Then 8y -5y = 3y

4x -x = (4 = 1.5 x 2 2/3) =4 if x = 1.5

3y = 2 2/3 = 3 if y = 2

The ratio stays the same.

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sheenuvt12 sheenuvt12 · Answer 2 · 2022-07-20T23:01:56+02:00

The student mistake was in line 2, the student forgot to multiply the

right side of the equation by 2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

2x + 5y = 13

-x + 4y = 13

The first steps are correct.

In second step the LHS and RHS both should be multiplied by 2.

So,

-2x + 8y = 26

But, the student only multiply 2 on the LHS side.

Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.

Learn more about equation here:

https://brainly.com/question/10413253

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