Question

Solve bysubstitution method: 2x – 3y = 13; 7x – 2y = 20

Answer 1

Answer:

x=2

y=-3

Step-by-step explanation:

2x-3y=13 multiply it by 7 we will get

14x-21y=91

7x-2y=20 multiply it by 2 we will get

14x-4y=40

by subtracting this two new equations we will get

-17y=51

y=51/-17

y=-3

put y value in 2x-3y=13 we will get

2x-3(-3)=13

2x+9=13

2x=13-9

2x=4

x=2

Answer 2

Answer:

Step-by-step explanation:

multiply the first equation with 7

and the other one with 2

the results are-

$14x-21y=91 \\14x-4y=40$

now subtract both the equations

the result is:

$0-17y=51\\\\y=\frac{51}{-17} \\\\y=-3$

put this value in other equation