Question

Solve system of equations y=3/4x+2 5x+4y=-24

Answer 1

`\left \{ {{y=-1} \atop {x=-4}} \right.`

Explanation:

`\left \{ {{y=(3)/(4) x+2} \atop {5x+4y=-24}} \right. <=> \left \{ {{y=(3)/(4)x+2 } \atop {5x+4*((3)/(4)x+2)=-24 }} \right. <=>\left \{ {{y=(3)/(4)x+2 } \atop {5x+3x+8=-24}} \right. <=> \left \{ {{y=(3)/(4)x+2 } \atop {8x=-32}} \right. \\<=>\left \{ {{y=(3)/(4)x+2 } \atop {x=-4}} \right. <=> \left \{ {{y=(3)/(4)*(-4)+2 } \atop {x=-4}} \right. <=> \left \{ {{y=-3+2} \atop {x=-4}} \right. =>\left \{ {{y=-1} \atop {x=-4}} \right.`