Question

SOMEONE HELP ONG ILL GIVE BRAINLY OMM

Answer 1

Step-by-step explanation:

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Answer 2

Question :

Solve the system of equations using the substitution method. Show all works

• y = 5x - 7
• - 3x - 2y = - 12

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Answer :

• $\large \underline{\boxed{\bf{x = 2}}}$
• $\large \underline{\boxed{\bf{y = 3}}}$

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Explanation :

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Given :

• y = 5x - 7⠀ ⠀⠀ ⠀ ⠀⠀ - (i)
• - 3x - 2y = - 12⠀ ⠀⠀ ⠀- (ii)

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From equation (i), we have :

$\tt : \implies y = 5x - 7$

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By Substituting y = 5x - 7 in equation (ii), we get :

$\tt : \implies - 3x - 2(5x - 7) = - 12$

$\tt : \implies - 3x - 10x + 14 = - 12$

$\tt : \implies - 13x = - 12 - 14$

$\tt : \implies - 13x = - 26$

$\tt : \implies 13x = 26$

$\tt : \implies x = \dfrac{26}{13}$

$\tt : \implies x = 2$

$\large \underline{\boxed{\bf{x = 2}}}$

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Now, By substituting x = 2 in equation (i), we get :

$\tt : \implies y = 5(2) - 7$

$\tt : \implies y = 10 - 7$

$\tt : \implies y = 3$

$\large \underline{\boxed{\bf{y = 3}}}$

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Hence, solution of given system of equations are :

• $\large \underline{\boxed{\bf{x = 2}}}$
• $\large \underline{\boxed{\bf{y = 3}}}$