Question

Solve By Substitution method 2x+y=35 and 3x+4y=65

Answer 1

subtract 2x to both sides in the first equation to get y by itself y=35-2x

substitute the modified equation for y in the second equation 3x+4(35-2x)=65

distribute 3x+140-8x=65

combine like terms -5x+140=65

subtract 140   -5x=-75

divide by -5  x=15

plug in x into one of the formulas and solve
2(15)+y=35
30+y=35
y=5, x=15