Solving Pairs of Linear Equations with Variables on Both Sides

What is the first step to solve this system of linear equations.

• Add the 2 equations.

• Subtract the 2 equations.

• Multiply the second equation by 3.

• Multiply the first equation by 1/5.

What is the value of y in the system of linear equations?

• -5

• -1

• 1

• 5

Jessie has 2 apples and 3 oranges with a total cost of P105.00 while his friend has 1 apple and 4 oranges cost P90.00. Which of the following steps would be the best way to begin with in finding the cost of an apple and the cost of an orange?

• Multiply equation 2 by —2.

• Multiply equation I by 4 and 2.

• Add equation 1 and 2.

• Multiply equation 2 by 2 and add.

• (5, -1)

• (1, 5)

• (-1, 5)

• (1, 5)

• algebraic

• elimination

• graphical

• substitution

The system of linear equation (see photo) is solved by substitution. After the initial substitution in the second equation, which of the following is the resulting expanded equation?

3 bags and 2 pairs of shoes cost Phpl, 500.00 while 5 bags and 8 pairs of shoes cost Php4 950.00. What is the cost of each bag and a pair of shoes?

• Each bag cost Php250.00 and each pair of shoes cost Php425.00.

• Each bag cost Php275.00 and each pair of shoes cost Php400.00.

• Each bag cost and each pair of shoes cost Php475.00.

• Each bag cost Php150.00 and each pair of shoes cost Php525.00.

Melba says that the system (see photo) has exactly one solution. Which of the following reasons would support her statement?

• I only

• I and II

• II and III

• IV only

Trish was asked by her Math teacher to solve the system (see photo). She decided to use substitution method to solve the system. Which of the following statements justify her choice of method?

• I

• II

• III

• I and II

Which method is best to apply to solve the system?

• algebraic

• elimination

• graphical

• substitution