Question

Solve 3x+2y=4 4x+3y=7 algebraically

Answer 1

Step 1. Multiply first equation with -3 and the second one with 2. You'll get:

`\left \{ {{-9x-6y=-12} \atop {8x+6y=14}} \right.`

Step 2. Add both equations together. You'll get:

`-x=2`, which gives x = -2

Step 3. Replace x = -2 in the first equation and calculate y.

`3(-2)+2y=4\\ y=(4+6)/(2)=5`

The solution is: x=-2, y=5