Question

Solve the problem by the mathod of substitution.
$y = 6x - 11 \\ - 2x - 3y = - 7$
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Answer 1

Correct Question:

Solve the Given Pair of Linear Equations by the Substitution Method.

y = 6x - 11 & - 2x - 3y = -7

AnswEr:

y = 6x - 11 ----------Eq(1)

-2x - 3y =-7 ----------Eq(2)

From Equation (1)

$\longrightarrow\sf\: y = 6x - 11$

Now, Substituting the Value of y in Equation (2)

$\longrightarrow\sf\: - 2x -3y = -7$

$\longrightarrow\sf\: -2x -3(6x \:-\:11) = -7$

$\longrightarrow\sf\: -2x - 18x + 33 =-7$

$\longrightarrow\sf\: - 20x + 40$

Dividing both sides by -20

$\longrightarrow\small\boxed{\sf{\red{x\:=\:2}}}$

$\rule{150}2$

Now, Substituting the Value of x in Equation (1)

$\longrightarrow\sf\: y = 6x - 11$

$\longrightarrow\sf\: y = 6(2) - 11$

$\longrightarrow\sf\: y = 12 - 11$

$\longrightarrow\small\boxed{\sf{\red{y\:=\:1}}}$

Hence, Value of x & y is 2 & 1.

Answer 2

Step-by-step explanation:

y = 6x - 11 ________________equ-(I)

- 2x - 3y = - 7_____________ equ-(ii)

using (i) substitute (6x-11)for y in (ii)

-2x - 18x +33 - 7 _____________ equ (iii)

simplifying

20x = 40 _________________ equ (iv)

x = 2 ____________________ equ (v)

using (v) substitute (iv) for x in equ (i)

y = 12 - 11 ______________ equ(vi)

y= 1 __________________equ (vii)

solution is (x,y ) =( 2, 1)