Let's solve the equation step-by-step carefully to identify the error Malik made.
Given the equation:
[tex]\[
\frac{2}{5} x - 4 y = 10
\][/tex]
We are also given that [tex]\( x = 60 \)[/tex], so substitute [tex]\( x = 60 \)[/tex] into the equation:
[tex]\[
\frac{2}{5} (60) - 4 y = 10
\][/tex]
Let's compute [tex]\(\frac{2}{5} (60)\)[/tex]:
[tex]\[
\frac{2}{5} \times 60 = \frac{120}{5} = 24
\][/tex]
Thus, the equation now becomes:
[tex]\[
24 - 4 y = 10
\][/tex]
Next, isolate [tex]\( y \)[/tex] by subtracting 24 from both sides of the equation:
[tex]\[
-4 y = 10 - 24
\][/tex]
Simplify the right-hand side:
[tex]\[
-4 y = -14
\][/tex]
Now, solve for [tex]\( y \)[/tex] by dividing both sides by -4:
[tex]\[
y = \frac{-14}{-4} = 3.5
\][/tex]
Thus, the correct value of [tex]\( y \)[/tex] when [tex]\( x = 60 \)[/tex] is [tex]\( y = 3.5 \)[/tex].
Upon reviewing Malik's solution, he substituted [tex]\( y \)[/tex] with 60 in the second step, which was incorrect. The equation should have been solved for [tex]\( y \)[/tex] after substituting [tex]\( x \)[/tex], not after substituting [tex]\( y \)[/tex].
Therefore, the first error Malik made was in the second step:
[tex]\[
\frac{2}{5} x - 4(60) = 10
\][/tex]
This substitution of [tex]\( y = 60 \)[/tex] was incorrect.
Hence, the correct answer is:
Malik added 240 to each side of the equation.
