Question

Y =  7x + 43

y =  2x  + 13

a.

( -6,  1)

c.

( 6,  1)

b.

( 6,  -1)

d.

No solution

Answer 1

Hi there! The answer is A. (-6, 1)


`y = 7x + 43 \\ y = 2x + 13 \\ \\ we \: get \: the \: following \\ 7x + 43 = 2x + 13`

Subtract 2x from both sides.

`5x + 43 = 13`

Subtract 43 from both sides.

`5x = - 30`

Divide both sides by 5.

`x = - 30 / 5 = - 6`

Fill in the value of x we just found.

`y = 7 * - 6 + 43 = - 42 + 43 = 1 \\ y = 2 * - 6 + 13 = - 12 + 13 = 1`

Hence, the answer is A. (-6, 1)