Given the equations $4x + 2y = 2$ and $y + 3x = 10$ , what is the value of $2x + y$ ?

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− 2

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Official Explanation

Official

We have the equations

4x + 2y = 2

and

y + 3x = 10

. The question asks for the value of

2x + y

. Starting with the second equation, we can rearrange it:

y = 10 - 3x

. Now, substitute this expression for y into the first equation:

4x + 2(10 - 3x) = 2

. Simplifying this gives us [m]4x +…

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What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.