Question

Consider the system of equations4x + 9y 165x - 3y 10Multiply every term in the second equation by some number so that the y-terms will have opposite coefficients,Write the new equation

Answer 1

Step 1: Write the system of equations

`\begin{gathered} 4x\text{ + 9y = 16} \\ 5x\text{ - 3y = 10} \end{gathered}`

Step 2: Using Elimination method

Hence the new equations are

`\begin{gathered} 12x\text{ + 27y = 48 } \\ 45x\text{ - 27y = 90} \end{gathered}`