Question

solve the system of equation by substitution and elimination method
7x +2y :26
3x-4y:16​

Answer 1

Answer

Find x

7x+2y=26

Subtract 2y from both sides.

7x=26−2y

Divide both sides by 7.

7

7x= 26−2y

Dividing by 7 undoes the multiplication by 7.

x= 26−2y÷7

find y

7x+2y=26

Subtract 7x from both sides.

2y=26−7x

Divide both sides by 2.

2

2y = 26−7x

Dividing by 2 undoes the multiplication by 2.

y= 26−7x÷2

Divide 26−7x by 2.

y=− 7x +13

2

Answer 2

Answer:

7x +2y =26 ( eq.n 1)

3x - 4y = 16(eq.n 2)

Step-by-step explanation:

multiply by 2 in equation 7x +2y =26

2×7x + 2×2y = 2×26

14x +4y = 52(eq.n 3)

subtract eq.n 3 from 2

14x +4y =52

3x - 4y = 16

= 17x = 68

= x= 68 /17

= x = 4

putting the value of X in eq.n 1

7x + 2y =26

7(4) +2y = 26

28 +2y =26

2y = 26-28

2y = -2

y = -1

so,

x =4

y = -1