What is the y-value in the solution to this system of linear equations? 4x + 5y = −12 -2x + 3y = −16 a.)−4 b.)−2 c.)2 d.)5

Option  A.)−4

Step-by-step explanation:

we have

4x+5y=-12 > equation A

-2x+3y=-16 > equation B

Solve the system of equations by elimination

Multiply the equation B by 2

2*(-2x+3y)=-16*2

-4x+6y=-32 > equation C

Adds equation A and equation C

4x+5y=-12

-4x+6y=-32

5y+6y=-12-32

11y=-44

y=-4

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10