Question

Solve by substitution method: 2x – 3y = 13 and 7x + 4y = 60

Answer 1

Answer:

x=8

y=-1

Step-by-step explanation:

2x-3y=13

2x=13-3y

x= $\frac{13-3y}{2}$

Substituting this value in the other equation

7x+4y=60

7($\frac{13-3y}{2}$)+4y=60

$\frac{91-21y}{2}$+4y = 60

$\frac{91-21y-8y}{2}$=60

91-29y=60*2

-29y=120-91

-29y=29

-y=1

y=-1

x=$\frac{13-3y}{2}$

2x=13-3(-1)

2x=13+3

2x=16

x=8