All categories

3 years ago

Solve the simultaneous equations 5x + 6y = 3 2x - 3y = 12

Mathematics

2 answers:

Serhud [2]3 years ago

7 0

Answer: x =3; y = -2

$\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ \left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\\left \{ {{x=3} \atop {y=-2}} \right.$

Step-by-step explanation:

vovikov84 [41]3 years ago

4 0

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12 Multiply this by 2:

4x - 6y = 24 Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

You might be interested in

Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few y

Shalnov [3]

Answer:

p value = 0.039

t = - 2.169

Step-by-step explanation:

Applying the null and alternate hypothesis

$H_{0} : U1 = U2$

$H_{\alpha } : U1 \neq U2$

using excel worksheet to calculate for ( t and p )

t = -2.169

p = 0.039

from the results obtained

The conclusion is affected by the significance level because : 0.1 < p > 0.01

so when the significance level is = 0.1 the Null hypothesis is rejected and we can say the mean time interval will change while

if the significance level = 0.01 the Null hypothesis is accepted and we can not say the mean time interval has changed because the p -value is greater than 0.01

attached is the excel solution

7 0

3 years ago

Given: 315/1575. Write the prime fractorization of the numerator and the denominator, then write the fraction in lowest terms.

Ne4ueva [31]

The prime factorization of the numerator, 315, is 5 x 3 x 3 x 7. That of the denominator, 1575 is 5 x 5 x 3 x 3 x 7. To convert the fraction to its lowest form, cancel all the factors that appear to both the numerator and denominator. We will be left with 1/5.

3 0

3 years ago

. Office productivity is relatively low when the employees feel no stress about their work or job security. However, high levels

Ray Of Light [21]

Answer:

Step-by-step explanation:

The plot chart below best represents the relationship between stress and productivity in the workplace. As seen in the chart both high and low levels of stress equate to very low productivity levels for employees in the workplace. While just enough stress creates very productive employees. This tends to be because employees are worried about the possibility of losing their jobs so they work hard in order to keep the job but are not so worried that they think it will happen tomorrow and become burned out.