I will solve your system by substitution.x=3y−1;5x−7y=19Step: Solvex=3y−1for x:Step: Substitute3y−1forxin5x−7y=19:5x−7y=195(3y−1)−7y=198y−5=19(Simplify both sides of the equation)8y−5+5=19+5(Add 5 to both sides)
8y=248y8=248(Divide both sides by 8)y=3Step: Substitute3foryinx=3y−1:x=3y−1x=(3)(3)−1x=8(Simplify both sides of the equation)
x=8 and y=3