Question

In: Math

linear equation in two variable

Complete the following activity to solve the simultaneous equations.
5x + 3y = 9 -----(I)
2x - 3y = 12 ----- (I)

Solutions

Expert Solution

5x + 3y = 9 -----(I)
2x −- 3y = 12 ----- (II)
Add equation (I) and equation (II)
7x = 21
x = 3
Putting the value of x = 3 in (I) we get
5(3)+3y=9⇒15+3y=9⇒3y=9−15=−6⇒y=−2
Thus, (x, y) = (3, -6). 

Thus, (x, y) = (3, -6). 

Aman Yadav answered 2 years ago
Next > < Previous

Related Solutions

a. If they are going to run a linear regression, identify which variable should be the independent variable and which should be the dependent variable in a regression equation.
In seeking to determine how influential advertising is, the management of a recently established retail chain collected data on sales revenue and advertising expenditure from its' stores over the last ten (10) weeks. The table below shows the data collected: Advertising Expenditure ($ 000) Sales ($ 000) 3 5 76 50 250 700 450 3.5 75 4 150 4.5 7 200 750 7.5 800 8.5 1,100 a. If they are going to run a linear regression, identify which variable should...
Linear regression equation
Linear regression equation also find accuracy Obtain regression equation of Y on X and estimate Y when X=55 from the following 
Linear Differential Equation
Solve the following differential equation. \( (x+2y^3)dy=ydy \)
Linear Regression Linear regression is used to predict the value of one variable from another variable....
Linear Regression Linear regression is used to predict the value of one variable from another variable. Since it is based on correlation, it cannot provide causation. In addition, the strength of the relationship between the two variables affects the ability to predict one variable from the other variable; that is, the stronger the relationship between the two variables, the better the ability to do prediction. What is one instance where you think linear regression would be useful to you in...
Write the second order differential equation as a system of two linear differential equations then solve...
Write the second order differential equation as a system of two linear differential equations then solve it. y" + y' - 6y = e^-3t y(0) =0   y'(0)=0
What is the equation for the weighted least square solution for a non-linear problem? Which two...
What is the equation for the weighted least square solution for a non-linear problem? Which two conditions are satisfied when using the method of least squares?
If a variable is exponentially increasing, then the logarithm of that variable would have a linear...
If a variable is exponentially increasing, then the logarithm of that variable would have a linear trend. You are not convinced that fitting a trend line would bring a good forecast. Why would you think so? Why fitting a trend line on logarithm may not generate good forecasts in this case?
If a variable is exponentially increasing, then the logarithm of that variable would have a linear...
If a variable is exponentially increasing, then the logarithm of that variable would have a linear trend. You are not convinced that fitting a trend line would bring a good forecast. Why would you think so? Why fitting a trend line on logarithm may not generate good forecasts in this case?
Curve Fitting and Linear Regression a) Determine the linear regression equation for the measured values in...
Curve Fitting and Linear Regression a) Determine the linear regression equation for the measured values in the table above. ?? 1 2 3 4 Value 1 (????) 0 3 7 10 Value 2 (????) 2 4 9 11 b) Plot the points and the linear regression curve. c) Determine the Linear Correlation Coefficient (i.e., Pearson’s r) for the dataset in the table above.
Discuss the following two statements: (1) If we have an unobserved variable in an equation and...
Discuss the following two statements: (1) If we have an unobserved variable in an equation and we are interested in the sign of its coefficient, we should always use a proxy, since the estimated coefficient of the proxy will give us the correct sign. (2) In regressions of income (or wage) on schooling where schooling is measured with error, omitting variables that measure ability will overestimate the effect of schooling on income.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT