Question

y = 5x + 2 3x = –y + 10 What is the solution to the system of equations? (–4, –18) (–18, –4) (7, 1) (1, 7)

Answer 1

Answer:

Solution (x,y) = (1,7)

Explanation:

y = 5x +2 ----(1)

3x=-y+10----(2)

Substitute (1) in equation (2),

we get

3x = -(5x+2)+10

=> 3x= -5x-2+10

=> 3x+5x = -2+10

=> 8x = 8

=> x = 8/8

=> x = 1

Put x = 1 in equation (1), we get

y = 5×1 + 2

=> y = 5 + 2

=> y = 7

Therefore,

(x,y) = (1,7)

•••••

Answer 2

$\bf\huge\textbf{\underline{\underline{According\:to\:the\:Question}}}$  

$\bf\huge\bf\huge{\boxed{\bigstar{{y = 5x + 2\: and\: 3x = -y + 10}}}}$    

Substitute the value of y

3x = -(5x + 2) + 10

⇒ 3x = -5x - 2 + 10

⇒ 3x + 5x = -2 + 10

⇒ 8x = 8

$\bf\huge{\implies x = \dfrac{8}{8}}$        

⇒ x = 1

Now substitute the value of x we get

y = 5 × 1 + 2

⇒ y = 5 + 2

⇒ y = 7

Hence

$\bf\huge\bf\huge{\boxed{\bigstar{{x = 1\:,y = 7}}}}$