$\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.$

5 0

3 years ago

Equation 9(2j + 5j). Use the distributive property to create an equivalent expression

raketka [301]

Answer:

63j

Step-by-step explanation:

Multiply 2j by 9 and 5j by 9. This gets you to 18j+45j. Then, add these since they are like terms: 63j.

4 0

2 years ago

A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs reveale

djyliett [7]

Answer and Step-by-step explanation:

a) H o : there is no relation between job pressure and age

H 1: there is a relation between job pressure and age

b) See file attached.

c) Test statistic: For the given categorical data, we apply the x² — test Test statistic is 2.19

d) The test statistic value x² = 2.19 < 16.81, we accept the null hypothesis. Therefore, we conclude that there is no relationship between job pressure and age.

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6 0

3 years ago