All categories

3 years ago

Solve the following system of equations algebraically: 4x - 5y = 18 3x – 2y = 10

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

You might be interested in

Plz help simplify 8/10

Free_Kalibri [48]

$\frac{8}{10}$ → $\frac{4}{5}$

8 and 10 can both be divided by 2. So, 8 ÷ 2 is 4 and 10 ÷ 2 is 5.

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Find the quotient -7/12 divided by 1/7

leva [86]

Answer:

-4.08

Step-by-step explanation:

4 0

3 years ago

10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135

Viefleur [7K]

The simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .

First we must simplify the expression:
$\frac{3 \sqrt{160} }{\sqrt{1350x} } = \frac{12 \sqrt{10} }{15 \sqrt{6x} } = \frac{4 \sqrt{10} }{5 \sqrt{6x} }$

Then we factor the rational parts and cancel it out:
$\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }$

Then we rationalize the expression:
$\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}$

<span>Finally, the simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .</span>

7 0

3 years ago

A bakery uses a muffin recipe that uses 1/2 cup of milk for every batch of 12 muffins.... How many batches of 12 muffins can be

Irina-Kira [14]

32 batches of 12 muffins hope this helps

6 0

4 years ago

Solve for y : 3x+5y=10

OLEGan [10]

3x + 5y = 10 Subtract 3x from both sides. 5y = -3x + 10 Divide both sides by 5. y = -3/5x + 2

3 0

3 years ago

Read 2 more answers