Question

At what point do 3x-2=26 and 5x=7y+58 intersect?

Answer 1

`3x-2=26\qquad\text{add 2 to both sides}\\\\3x=28\qquad\text{divide both sides by 3}\\\\\boxed{x=(28)/(3)}\\\\\text{Put the value of x to the second equation}\ 5x=7y+58\\\\5\left((28)/(3)\right)=7y+58\qquad\text{multiply both sides by 3}\\\\(5)(28)=21y+174\\\\140=21y+174\qquad\text{subtract 174 from both sides}\\\\-34=21y\qquad\text{divide both sides by 21}\\\\\boxed{y=-(34)/(21)}\\\\Answer:\ \boxed{\left((28)/(3),\ -(34)/(21)\right)}`