Order the steps and justifications in solving the system of linear equations.Equation 1: 4x+3y=84x+3y=8Equation 2: −2x−3y=−4&nbsp;

Question

Order the steps and justifications in solving the system of linear equations.Equation 1: 4x+3y=84x+3y=8Equation 2: −2x−3y=−4&amp;nbsp;

alenahelenash · Accepted Answer

To solve the system of linear equations:Equation 1: 4x+3y=8Equation 2: −2x−3y=−4We can use the method of elimination or substitution. Let&#039;s use the method of elimination to order the steps:1. Multiply Equation 2 by a suitable constant to create opposite coefficients for either x or y terms.Multiplying Equation 2 by 2, we get: −4x−6y=−82. Add Equation 1 and the modified Equation 2 to eliminate one variable.(4x+3y)+(−4x−6y)=8+(−8)Simplifying, we obtain: −3y=03. Solve the resulting equation for the remaining variable.Dividing both sides of −3y=0 by −3, we have: y=04. Substitute the value of y back into either Equation 1 or Equation 2 to solve for the other variable.Substituting y=0 into Equation 1, we get: 4x+3(0)=8Simplifying, we have: 4x=8Dividing both sides by 4, we obtain: x=25. Check the solution by substituting the values of x and y into both equations.Substituting x=2 and y=0 into Equation 1: 4(2)+3(0)=8Simplifying, we have: 8=8, which is true.Substituting the same values into Equation 2: −2(2)−3(0)=−4Simplifying, we have: −4=−4, which is also true.Therefore, the solution to the system of linear equations is x=2 and y=0.

Store	Original Price of Aquarium ($)
Pets Plus	118
Pet Planet	110

Order the steps and justifications in solving the

Answered question

Answer & Explanation

New Questions in High School