What is x 2(2x+3)-2=5

Mathematics

1 answer:

Scilla [17]3 years ago

6 0

Answer:

x = 0.25 or $\frac{1}{4}$

Step-by-step explanation:

2(2x + 3) - 2 = 5 (Given)

2 · 2x + 2 · 3 - 2 = 5 (Distributive Property of Equality)

4x + 6 - 2 = 5 (Simplify)

4x + 4 = 5 (Simplify)

4x + 4 - 4 = 5 - 4 (Subtraction Property of Equality)

4x = 1 (Simplify)

$\frac{4x}{4} = \frac{1}{4}$ (Division Property of Equality)

x = 0.25 or $\frac{1}{4}$ (Simplify)

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Answer:

$\huge\boxed{x=-5,\ y=4\to(-5,\ 4)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+3y=2\\5x-y=-29&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+3y=2\\15x-3y=-87\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad17x=-85\qquad\text{divide both sides by 17}\\.\qquad\dfrac{17x}{17}=\dfrac{-85}{17}\\.\qquad\boxed{x=-5}\\\\\text{Substitute it to the second equation:}\\\\5(-5)-y=-29\\\\-25-y=-29\qquad\text{add 25 to both sides}\\\\-25+25-y=-29+25\\\\-y=-4\qquad\text{change the signs}\\\\\boxed{y=4}$