Question

Solve each system of equations.

4x + 6y = 8
5x – 4y = 25

Answer 1

`\left \{ {{4x+6y=8} \atop {5x-4y=25}} \right. \\ \left \{ {{4x+6y=8} \atop {5x=25+4y}} \right.\\ \left \{ {{4x+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{4(5+0.8y)+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{20+3.2y+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{9.2y=-12} \atop {x=5+0.8y }} \right. \\ \left \{ {{y= -(12)/(9.2) } \atop {x=5+0.8y }} \right. \\ \left \{ {{y= -(120)/(92) } \atop {x=5+0.8(-(12)/(9.2)) }} \right. \\`

`\left \{ {{y= -1(28)/(92) } \atop {x=5-(96)/(92) }} \right. \\ \left \{ {{y= -1(7)/(23) } \atop {x=5-1(1)/(23) }} \right. \\ \left \{ {{y= -1(7)/(23) } \atop {x=4(1)/(23) }} \right. \\`

`\boxed{(x; y)=(4(1)/(23); -1(7)/(23)) }`