Question

Find the solution of the system of equations 3x+4y=10 and x−y=1. Give the x value followed by the y value, separated by a comma. Express your answer in the form x,y.

Answer 1

Answer:

x,y =2,1

Step-by-step explanation:

3x+4y=10          ................equ1

x-y=1                 ................equ2

This system of equations forms a quadratic equation.

Lets use the substitution method in solving this set of equations

from equ 2;  x=y+1

substitute x=y+1 into equ 1

3(y+1) +4y=10

3y+3+4y=10

7y=10-3

7y=7

y=7/7

y=1

but x=y+1

substitute the value of y into this equation to get x

x= 1+1

x=2

x,y=2,1