How do you solve 2x-3y=12x3y=1 and 5x+4y=145x+4y=14 using substitution?

1 Answer
Jun 30, 2018

x=2,y=1x=2,y=1

Explanation:

solving the first equation for xx:
substracting 3y3y

2x=1+3y2x=1+3y
dividing by 22 we get
x=1/2+3/2yx=12+32y
plugging this in the second equation

5(1/2+3/2y)+4y=145(12+32y)+4y=14

multiplying by 22

5(1+3y)+8y=285(1+3y)+8y=28
5+15y+8y=285+15y+8y=28

collecting like Terms

23y+5=2823y+5=28

substracting 55 and dividing by 2323

y=1y=1

so we get

x=1/2+3/2=4/2=2x=12+32=42=2