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.
$3(-2)+2y=4\\ y=\frac{4+6}{2}=5$

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