Question

y = 7 - x\
x + 2y = 12 \
ightarrow x + 2(7 - x) = 12\
next, you can find the value of x.\
simplify.\
x + 2(7 - x) = 12\
x + 14 - x = 12\
\sqrt{14} - x\
14 - 2x\
27 - x\
27 - 2x\
itive property. multiply each\
antheses by 2.

Explanation:

Step1: Expand the left - hand side

We have the equation \(x + 2(7 - x)=12\). Using the distributive property \(a(b + c)=ab+ac\) (here \(a = 2\), \(b = 7\), \(c=-x\)), we get \(x+14 - 2x = 12\).

Step2: Combine like terms

Combine the \(x\) terms: \(x-2x+14 = 12\), which simplifies to \(-x + 14=12\).

Step3: Solve for \(x\)

Subtract 14 from both sides of the equation: \(-x+14 - 14=12 - 14\), so \(-x=-2\). Multiply both sides by - 1: \(x = 2\).

Answer:

\(x = 2\)