Question

Solve the given pair of equation by substitution method:-
7x-3y = 6 ;
4x - y = 7​

Answer 1

Answer:

I will solve your system by substitution.

(You can also solve this system by elimination.)

4x−y=7;7x−3y=6

Step: Solve 4x−y=7for y:

4x−y+−4x=7+−4x(Add -4x to both sides)

−y=−4x+7

−y/−1=−4x+7/−1

(Divide both sides by -1)

y=4x−7

Step: Substitute 4x−7foryin7x−3y=6:

7x−3y=6

7x−3(4x−7)=6

−5x+21=6(Simplify both sides of the equation)

−5x+21+−21=6+−21(Add -21 to both sides)

−5x=−15

−5x/−5=−15/−5

(Divide both sides by -5)

x=3

Step: Substitute 3 for x iny=4x−7:

y=4x−7

y=(4)(3)−7

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Answer 2

Answer:

1. 7x-3y=6

let x be 3 and y be 5 ,

then, 7(3)-3(5)=6

21-15=6.

4x-y=7

let x be 2 and y be 1 ,

then, 4(2)-1=7

8-1=7.

this is your required answer