All categories

4 years ago

What is the solution to the system of equations? Use the substitution method. {y=−2x+5 3x−4y=2

2 answers:

5 0

We have that
<span>y=−2x+5 --------> equation 1
3x−4y=2---------> equation 2
</span><span>substituting 1 in 2
</span>3x-4*(-2x+5)=2--------> 3x+8x-20=2--------> 11x=22-----> x=2
y=-2x+5-----> -2*2+5-----> y=1

the solution is
x=2
y=1

dimulka [17.4K]4 years ago

3 0

$LINEAR \: \: EQUATIONS \: \: IN \: \: TWO \: \: \\ VARIABLES \\ \\ \\\\Given \: \: - \\ \\ y \: = - 2x + 5 \: \: \: - - - eq.(1) \\ \\ \: 3x - 4y = 2 \: \: \: \: - - - eq.(2) \\ \\ Using \: \: substitution \: \: method \: , \: \\ Putting \: \: \: eq.(1) \: \: in \: \: eq.(2) \\ \\ 3x - 4 \: ( - 2x + 5) = 2 \\ \\ 3x + 8x - 20 = 2 \\ \\ 11x \: - 20 \: \: = \: \: 2 \\ \\ 11x \: \: = \: \: 22 \: \: \\ \\ x \: \: = \: \: \frac{22}{11} \: \: = \: \: 2 \: \: \: - - - eq.(3) \\ \\ Putting \: \: eq.(3) \: \: in \: \: eq.(1) \: \\ \\ We \: get \: \: - \\ \\ y = - 2(2) + 5 = 5 - 4 = 1 \\ \\ \\ Hence \: \\ \\ \: || \: \: x = 2 \: \: || \: \: \: \: and \: \: \: || \: \: y = 1 \: \: || \: \: \: \: \: \: \: \: Ans.$

You might be interested in

The population of Mathloversville is given by the equation P=38e^0.095t , where t is the number of years from now. How long will

lys-0071 [83]

Answer:

Approximately 107years

Step-by-step explanation:

Given the population of Mathloversville modelled by the equation P=38e^0.095t where t is the number of years from now.

To find the time it will take the population to reach 1million from now, we will substitute P = 1,000,000 into the equation given

1,000,000 = 38e^0.095t

Dividing both sides by 38

1,000,000/38 = e^0.095t

Taking the ln of both sides

ln(1,000,000/38) = ln e^0.095t

ln26,315.79 = 0.095t

10.18 = 0.095t

t = 10.18/0.095

t = 107.16years

It will take approximately 107years for the population to reach 1million

5 0

4 years ago

What is the algebraic expression for: four less than three times the number of egg orders and six more than two times the number

Ira Lisetskai [31]

3n - 4 + 6 + 2n

I believe that's the answer!

5 0

3 years ago

Please help me with this

yKpoI14uk [10]

<h3>Answer</h3>

<h3>Explanation</h3>

$\frac{14}{10} = \frac{7}{5}$

$\frac{y + 9}{15} = \frac{y + 3}{5}$

$\frac{7}{5} = \frac{y + 3}{5} = y = \frac{7}{5} - \frac{3}{5}$

The result is very simple now: 4/5

6 0

3 years ago

Geometry-Solving for X

Marianna [84]

Answer:

x= 46.6582....

Step-by-step explanation:

i can't find the symbols here so hopefully u get it.

we'll use SOHCAHTOA

sin x= $\frac{opposite}{hypotenuse}$

sin x= $\frac{8}{11}$

x=sin inverse $\frac{8}{11}$ ---------> sin^-1

x=46.6...

6 0

3 years ago

1.3181818...... as fraction units lowest term

Anestetic [448]

Answer:

29/22

Step-by-step explanation:

Let x = 1.31818181818....

Then, 10x = 13.18181818..., and 1000x = 1318.18181818..... Subtracting the first equation from the second, we get that 990x = 1305. This means that x = 1305/990. In lowest terms, this is 29/22.

6 0

3 years ago