Answer:
(x,y)=(85/562, -20/281)
Explanation:
4x+2y=-6.5y=-30x+5
{4x+2y=-30x+5
{-6.5y=-30x+5 simplify the expression
{34x+2y=5
{300x-65y=50 multiply
{2210x+130y=325
{600x-1307=100 eliminate on evariable by adding the equations
2810x=425 divide both sides by 2810
x=85/562 substitute the value of x into the equation
34*85/562+2y=5 solve the equation
y=-20/281 a possible solution
(x,y)=(85/562,-20/281) check the solution
4*85/562+2*(-20/281)=-6.5*(-20/281)=-30*85/562+5 simplify the expression
130/281=130/281=130/281 the orderred pair is a solution