Question

Solve the system of equations algebraically. 3X - 3y = 6 6x - 7y = 5

Answer 1

Answer: 9,7

Step-by-step explanation:

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Answer 2

Answer:

$\sf \: Answer \rightarrow (x,y) = (9,7)$

Step-by-step explanation:

To solve the given linear equations of two variable, follow the steps below,

Step 1:

Write down both the equation and mark them as equation one & equation two respectively.

$3x - 3y = 6 \hookrightarrow \: eq.1 \\ 6x - 7y = 5 \: \hookrightarrow \: eq.2$

Step2:

Try to equal the coefficient of any one variable by multiplying with required factor & mark as equation 3 for e.g.

$\small \sf \: multiplying \: equation \: 1 \: with \:2 \\ 3x \times 2 - 3y \times 2= 6 \times 2 \\ 6x - 6y = 12 \: \hookrightarrow \: eq.3$

Step3:

Add or subtract both the equation having equal coefficient of one variable,

Add equations if variable with same coefficient have opposite sign,

Subtract equation if variable with same coefficient have same sign.

$\small\sf \: on \: subtracting \: \: equation \: 2\: from \: eq.3$

$\sf \: 6x - 6y = 12 \\ \sf - 6x + 7y = - 5 \\ \hline \sf 0x + y = 7 \\ \boxed{y = 7}$

Step 4:

Substitute the derived value of a variable in any of above equation to calculate unknown variable,

$\small \sf \: Substituting \: value \: of \: y \: in \: eq.1,$

$3x - 3y = 6 \\ 3x - 3 \times 7 = 6 \\ 3x = 6 + 21 \\ x = \frac{27}{3} \\ \boxed{x = 9}$

$\small \sf \: Answer \rightarrow (x,y) = (9,7)$

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