All categories

3 years ago

Solve the following simultaneouse equation. 3x+y=1 and x²+y²=5

Mathematics

1 answer:

Serjik [45]3 years ago

3 0

Answer:

x=2/5, y=11/5

or x=−1y = 2

Step-by-step explanation:

Substitute y=3x+1 in x2+y2=5 to obtain

x2+(3x+1)2=5 ⇒ 10x2+6x−4=0

Hence

5x2+3x−2=0 ⇒ 5x2+5x−2x−2=0 ⇒5x(x+1)−2(x+1)= 0 ⇒ (5x−2)(x+1)=0

Hence

either

x=2/5, y=3×2/5+1=11/5

or x=−1, y=3×(−1) +1 = −2

You might be interested in

Callie loves flowers. She picks 4 tulips for every Daisy she picks. Callie's mom also gave her 6 tulips this week from her garde

Setler [38]

Answer:

Step-by-step explanation:

6 times 3 equals 18

4 times 3 equals 12 plus 6 equals 18

3 0

3 years ago

how so you solve 5x+27=9(x+3)-4x and is this a conditional equation, an identity, or an inconsistent equation

Vikentia [17]

To solve this, follow these steps:

5x + 27 = 9 (x+3) - 4x

Distribute the 9 within the parenthesis:

5x + 27 = 9x + 27 - 4x

Then combine like terms:

5x + 27 = 5x + 27

These two then cancel each other out completely.

This is an identity because an identity in math is when both equations equal each other, which is shown above.

Hope this helps!

5 0

3 years ago

Please help me with this question

Natali5045456 [20]

Again, In this question too you need to substitute the given variable values into the original expressions. Here, "x" is given as a value of "12" and the variable of "y" is given as as value of "2". A single variable of "x" in the numerator is given in the expression. On the denominator the variable of "y" with a value of "2" is multiplied by a numbered value of "3". So, now showing this by the help of LaTeX.

$\mathbf{Since, \: x = 12, \: y = 2}$

$\mathbf{\therefore \quad \dfrac{12}{3 \times 2}}$

$\mathbf{\therefore \quad \dfrac{12}{6}}$

$\mathbf{2}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is: \: B) \: 2}}}$

Hope it helps.

3 0

3 years ago

Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written

In-s [12.5K]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A small home speaker produces 0.200 ~\text{W}0.200 W of acoustical power. (This is achieved, for example, by a 10-Watt speaker o

Anika [276]

Answer:

i dont speak english

Step-by-step explanation:

4 0

3 years ago

Solve the following simultaneouse equation. 3x+y=1 and x²+y²=5​

Solve the following simultaneouse equation. 3x+y=1 and x²+y²=5