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3 years ago

2x + y = 4 3x - y = 6

Mathematics

2 answers:

MrMuchimi3 years ago

8 0

y=(1/2)x-1

You have to set both to y and then add. After that you solve for y

Gekata [30.6K]3 years ago

7 0

So, just add

2x+y=4
<u>3x-y=6 +</u>
5x+0y=10

5x=10
divide 5
x=2

sub back
2x+y=4
2(2)+y=4
4+y=4
y=0

x=2
y=0
(2,0)

the result of adding the equation is 5x=10

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beks73 [17]

Answer:

The Value of $a=\frac{15}{4}$ .

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

$sin\ \theta = \frac{opposite\ side}{Hypotenuse}$

$sin \ S= \frac{PQ}{QS}$

Substituting the given values we get;

$sin\ 30\°=\frac{x}{15}$

Now we know that;

$sin\ 30\° = \frac12$

So we can say that;

$\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}$

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

$Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\$

$Cos\ Q = \frac{QR}{PQ}$

Substituting the given values we get;

$cos 60\°= \frac{a}{x}$

Now we know that;

$cos 60\°= \frac12$

$x=\frac{15}{2}$

So substituting the values we get;

$\frac{1}{2}=\frac{a}{\frac{15}{2}}$

By Using Cross Multiplication we get;

$a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}$

Hence The Value of $a=\frac{15}{4}$ .

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3 years ago

Devon has $45 in his savings account. which equation can be used to determine how much devon needs to save in order to have $315

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<span>He has 45 dollars. He needs 315 dollars in order for him to have 315 dollars he would to need to save what? Then take 315-45= 270 dollars. Therefore he would need to save 270 dollars.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>

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3 years ago

Read 2 more answers

A line passes through the point -8,-3 and has a slope of -3/2. write an equation

fomenos

Answer:

y = -3/2x - 15

Step-by-step explanation:

Use the slope intercept form y = mx + b to substitute the slope = -3/2 and the point (-8, -3).

y = mx + b

-3 = -3/2(-8) + b

-3 = 12 + b

-15 = b

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Answer:

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Step-by-step explanation:

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