Question

3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method ​

Answer 1

x = 2/5, y= -22/5

Explanation:

4x−y=6;3x−2y=10

Step: Solve4x−y=6for y:

4x−y+−4x=6+−4x(Add -4x to both sides)

−y=−4x+6

-y/-1 = -4x +6 over -1 (Divide both sides by -1)

y=4x−6

Step: Substitute4x−6for y in 3x−2y=10:

3x−2y=10

3x−2(4x−6)=10

−5x+12=10(Simplify both sides of the equation)

−5x+12+−12=10+−12(Add -12 to both sides)

−5x=−2

-5x/-5 = -2/5 (Divide both sides by -5)

x= 2 /5

Step: Substitute 2/ 5 for x in y=4x−6:

y=4x−6

y=4 ( 2/ 5 ) −6

y= −22 /5

(Simplify both sides of the equation)

x = 2/5, y= -22/5