Question

- 2x + y = 14
4x - 6y= 4 system of equations substitution​

Answer 1

⠀⠀⠀⠀

• Value of x = - 11
• Value of y = - 8

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

➤ How to solve ?

⠀⠀⠀⠀

For solving such questions we need to know the linear inequations .

⠀⠀⠀⠀

Liner inequations can be solved with many methods . But here as mentioned we have to solve with substitution method .

⠀⠀⠀⠀

Substitution method is the method of finding the value of one variable from equation 1 and then substituting the value in the equation 2 .

━━━━━━━━━━━━━━━━━

Solution :

⠀⠀⠀⠀

⠀⠀

-2x + y = 14 --- ( i )

⠀⠀⠀⠀

4x - 6y = 4

2 ( 2x - 3y ) = 4

2x - 3y = 4 / 2

2x - 3y = 2 --- ( ii )

As given , -2x + y = 14

➠ y = 14 + 2x

Now, we will substitute the value of y in eq ( ii )

⠀⠀⠀⠀

➠ 2x - 3y = 2

➠ 2x - 3 ( 14 + 2x ) = 2

➠ 2x - 42 - 6x = 2

➠ 2x - 6x = 2 + 42

➠ -4x = 44

➠ x = 44 / - 4

⠀⠀⠀⠀

➠ x = -11

⠀⠀⠀⠀

`\sf{\underline{\boxed{\huge{\blue{\mathbb{x = - 11 }}}}}}`

• substituting the value of x in equation ( i )

⠀⠀⠀⠀

➠ -2x + y = 14

⠀⠀⠀⠀

➠ - 2 × - 11 + y = 14

⠀⠀⠀⠀

➠ 22 + y = 14

⠀⠀⠀⠀

➠ y = 14 - 22

⠀⠀⠀⠀

➠ y = - 8

⠀⠀⠀⠀

`\sf{\underline{\boxed{\huge{\blue{\mathbb{y = -8}}}}}}`

━━━━━━━━━━━━━━━━━

Answer 2

Hey there! :)

Equation 1) -2x + y = 14

Equation 2) 4x - 6y = 4

Add 2x to both sides of equation 1 so that we can get the value of y.

y = 2x + 14

Now, plug the value of y into our second equation.

4x - 6(2x + 14) = 4

Simplify.

4x - 12x - 84 = 4

Add 84 to both sides.

4x - 12x = 4 + 84

Simplify.

-8x = 88

Divide both sides by -8.

x = -11

Now, plug our value of x into our first equation in order to find y.

-2x + y = 14

-2(-11) + y = 14

22 + y = 14

y = -8

Therefore, the systems of equation variables are : (-11, -8)

~Hope this helped! :)