What are the solutions on the following system?

Mathematics

1 answer:

Oksana_A [137]3 years ago

3 0

2x+y = -5. Solve this for y. We get y = -2x - 5. Find y^2: 4x^2 + 20x + 25. Substitute 4x^2 + 20x + 25 for y^2 in the first equation:

x^2 + 4x^2 + 20x + 25 = 25

Then 5x^2 + 20x = 0, so that x = 0. Subst. 0 for x in the 2nd eqn and find the value of y. Write your solutions as shown above: ( , ) and ( , ).

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Solve:

riadik2000 [5.3K]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's solve ~

$\qquad \sf \dashrightarrow \: \dfrac{2x - 1}{5} = \dfrac{x - 2}{2}$

$\qquad \sf \dashrightarrow \: 2(2x - 1) = 5(x - 2)$

$\qquad \sf \dashrightarrow \: 4x - 2 = 5x - 10$

$\qquad \sf \dashrightarrow \: 5x - 4x = -2 + 10$

$\qquad \sf \dashrightarrow \: x = 8$

Value of x is 8

8 0

2 years ago

Read 2 more answers

Solve the compound inequality 9 + 3n >= 6 or 5n < 25.

babymother [125]

$9+3n \geq 6 \ \lor \ 5n\ \textless \ 25 \\
3n \geq 6-9 \ \lor \ n \ \textless \ \frac{25}{5} \\
3n \geq -3 \ \lor \ n \ \textless \ 5 \\
n \geq \frac{-3}{3} \\
n \geq -1 \\ \\
\boxed{n \geq -1 \hbox{ or } n\ \textless \ 5} \\ \\
\hbox{answer C}$