Question

Find the system if equations it has to be in x and y coordinate

Answer 1

Step-1: Multiply 2 to an equation such that a term is equivalent.

• -3x + 2y = -39

5x + 4y = 21

• => 2(-3x + 2y = -39)

5x + 4y = 21

• => -6x + 4y = -78

5x + 4y = 21

Step-2: Subtract the equations to remove the y variable.

• -6x + 4y = -78

-5x - 4y = -21

• -11x = -99

Step-3: Divide to obtain the x variable.

• -11x = -99
• => x = -99/-11
• => x = 9

Step-4: Substitute the value of x into any equation to obtain the value of y.

• -3x + 2y = -39
• => -3(9) + 2y = -39
• => -27 + 2y = -39
• => 2y = -39 + 27
• => 2y = -12
• => y = -6

Hence, the solution to your question is (9,-6).