Question

Which of the following is a solution to the equation: y = 7x + -59? Choose all that apply.
Select all that apply:
O (8,-3)
O (9,8)
O (7,-3)
0 (10,5)

Answer 1

Answer:

$(a)\ (8,-3)$

Step-by-step explanation:

Given

$y =7x +-59$

Required

Select all solutions

$(a)\ (8,-3)$

This implies that:

$x = 8; y=-3$

So:

$y =7x +-59$

$-3 =7 * 8 + -59$

$-3 =7 * 8 -59$

$-3 =56 -59$

$-3 =-3$

The above is a solution:

$(b)\ (9,8)$

This implies that:

$x=9\ y =8$

So:

$y =7x +-59$

$8 =7 * 9 + -59$

$8 =7 * 9 -59$

$8 =63 -59$

$8 =4$

The above is not a solution because $8 \ne 4$

$(c)\ (7,-3)$

This implies that:

$x=7;\ y=-3$

So:

$y =7x +-59$

$-3 = 7 * 7 +-59$

$-3 = 7 * 7 -59$

$-3 = 49 -59$

$-3 = -10$

The above is not a solution because $-3\ne -10$

$(d)\ (10,5)$

This implies that:

$x =10; y=5$

So:

$y =7x +-59$

$5 = 7 * 10 + -59$

$5 = 7 * 10 -59$

$5 = 70 -59$

$5 = 11$

The above is not a solution because $5 \ne 11$