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2 years ago

What is the solution of the system of equations? {4x−3y=152x+2y=4

1 answer:

8 0

Start by solving one equation for x or y, this time I'm choosing x. 2x = 4 - 2y, then x = 2 - y. Now substitute in x in the other equation. 4(2-y) - 3y = 15. This simplifies to 8 - 4y - 3y = 15. This simplifies to -7y = 7. Divide both sides by -7, and y = -1. Now plug the y value into the other equation: 2x + 2(-1) = 4. This simplifies to 2x = 6, and x = 3.
X = 3, Y = -1 or (3,-1)

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If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t

xenn [34]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Let the denominator be x
So, numerator = x - 2
According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is $\frac{1}{2}$

$\implies \frac{x-2-1}{x-1}=\frac{1}{2}$

$\implies \frac{x-3}{x-1}=\frac{1}{2}$

$\implies 2(x-3)=x -1$

$\implies 2x-6=x -1$

$\implies 2x-x=6-1$

$\implies x=5$

$\implies x-2=-5-2= 3$

$Required \: rational\: number = \frac{3}{5}$

6 0

1 year ago

What radian measure is equivalent to 75 degrees

koban [17]

WORK

5π/12
75∘⋅π/180∘=5π/12

Therefore the answer not rounded is 1.309 radians

7 0

2 years ago

Which equation involves a prime quadratic and cannot be solved by factoring?

brilliants [131]

B. x^2 + 5x - 4 = 0

Anyway that you try to factor it will not work

~~hope this helps~~

6 0

2 years ago

WILL MARK BRAINLIEST !!!

Finger [1]

Answer:

2:5

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

54 is 75% of

VLD [36.1K]

54 is 75% of x.

75% of x:
$75 \% \ of \ x=75\% \times x= \frac{75}{100}x=\frac{3}{4}x$

75% of x is (3/4)x and 75% of x is 54. Set (3/4)x equal to 54:
$\frac{3}{4}x=54 \\
x=54 \times \frac{4}{3} \\
x=\frac{54}{3} \times 4 \\
x=18 \times 4 \\
x=72$

54 is 75% of 72.

3 0

2 years ago

Read 2 more answers