sold the systems of equations below
a.(12,-3)
,3)
,12)
d.(3,-3)

answer:

step-by-step explanation:

d.

5(3)+2(-3)= 9

5×3=15. 2×-3= -6

15+-6=9

2(3)-3(-3)=15

2×3=6

3×-3= -9

6- (-9) = 15

answer:

d

step-by-step explanation:

given the 2 equations

5x + 2y = 9 → (1)

2x - 3y = 15 → (2)

eliminate the term in y by multiplying (1) by 3 and (2) by 2

15x + 6y = 27 → (3)

4x - 6y = 30 → (4)

add (3) and (4) term by term

(15x + 4x) + (6y - 6y) = (27 + 30), that is

19x = 57 ( divide both sides by 19 )

x = 3

substitute x = 3 into (1) or (2) for corresponding value of y

using (1), then

(5 × 3) + 2y = 9

15 + 2y = 9 ( subtract 15 from both sides )

2y = - 6 ( divide both sides by 2 )

y = - 3

solution is (3, - 3 ) → d

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 3 ← is in slope- intercept form

with slope m = -

Give the slope of a line m then the slope of a line perpendicular to it is

= - = - =

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = x - 1 ← equation of perpendicular line